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Finding the Fourth Proportional to 17,618.92, 24,314.02 and 9,661.12

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Solution

The fourth proportional to 17,618.92, 24,314.02 and 9,661.12 is: 13,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.92 : 24,314.02 = 9,661.12 : x
  2. Step 2: Convert to fraction form
    17,618.92/24,314.02 = 9,661.12/x
  3. Step 3: Cross multiply
    17,618.92x = 24,314.02 × 9,661.12
  4. Step 4: Simplify right side
    17,618.92x = 234,900,771.07
  5. Step 5: Solve for x
    x = 234,900,771.07/17,618.92
  6. Step 6: Final answer
    x = 13,332.30

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Half scale
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Find fourth proportional to 17,619.92, 24,315.40 and 9,662.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.