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Finding the Fourth Proportional to 23,700.57, 32,713.08 and 14,742.97

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Solution

The fourth proportional to 23,700.57, 32,713.08 and 14,742.97 is: 20,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700.57 : 32,713.08 = 14,742.97 : x
  2. Step 2: Convert to fraction form
    23,700.57/32,713.08 = 14,742.97/x
  3. Step 3: Cross multiply
    23,700.57x = 32,713.08 × 14,742.97
  4. Step 4: Simplify right side
    23,700.57x = 482,287,957.05
  5. Step 5: Solve for x
    x = 482,287,957.05/23,700.57
  6. Step 6: Final answer
    x = 20,349.21

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