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Finding the Fourth Proportional to 13,713.17, 20,564.69 and 6,691.14

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Solution

The fourth proportional to 13,713.17, 20,564.69 and 6,691.14 is: 10,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.17 : 20,564.69 = 6,691.14 : x
  2. Step 2: Convert to fraction form
    13,713.17/20,564.69 = 6,691.14/x
  3. Step 3: Cross multiply
    13,713.17x = 20,564.69 × 6,691.14
  4. Step 4: Simplify right side
    13,713.17x = 137,601,186.39
  5. Step 5: Solve for x
    x = 137,601,186.39/13,713.17
  6. Step 6: Final answer
    x = 10,034.24

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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.