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Finding the Fourth Proportional to 24,311.60, 33,550 and 13,133.60

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Solution

The fourth proportional to 24,311.60, 33,550 and 13,133.60 is: 18,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.60 : 33,550 = 13,133.60 : x
  2. Step 2: Convert to fraction form
    24,311.60/33,550 = 13,133.60/x
  3. Step 3: Cross multiply
    24,311.60x = 33,550 × 13,133.60
  4. Step 4: Simplify right side
    24,311.60x = 440,632,280
  5. Step 5: Solve for x
    x = 440,632,280/24,311.60
  6. Step 6: Final answer
    x = 18,124.36

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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.