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Finding the Fourth Proportional to 13,662.27, 20,452.10 and 9,715.14

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Solution

The fourth proportional to 13,662.27, 20,452.10 and 9,715.14 is: 14,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.27 : 20,452.10 = 9,715.14 : x
  2. Step 2: Convert to fraction form
    13,662.27/20,452.10 = 9,715.14/x
  3. Step 3: Cross multiply
    13,662.27x = 20,452.10 × 9,715.14
  4. Step 4: Simplify right side
    13,662.27x = 198,694,966.22
  5. Step 5: Solve for x
    x = 198,694,966.22/13,662.27
  6. Step 6: Final answer
    x = 14,543.33

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