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Finding the Fourth Proportional to 24,144.16, 36,194.08 and 9,349.24

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Solution

The fourth proportional to 24,144.16, 36,194.08 and 9,349.24 is: 14,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.16 : 36,194.08 = 9,349.24 : x
  2. Step 2: Convert to fraction form
    24,144.16/36,194.08 = 9,349.24/x
  3. Step 3: Cross multiply
    24,144.16x = 36,194.08 × 9,349.24
  4. Step 4: Simplify right side
    24,144.16x = 338,387,140.50
  5. Step 5: Solve for x
    x = 338,387,140.50/24,144.16
  6. Step 6: Final answer
    x = 14,015.28

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Half scale
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Double scale
Find fourth proportional to 24,145.16, 36,195.58 and 9,350.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.