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Finding the Fourth Proportional to 12,691.47, 17,516.31 and 8,709.31

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Solution

The fourth proportional to 12,691.47, 17,516.31 and 8,709.31 is: 12,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.47 : 17,516.31 = 8,709.31 : x
  2. Step 2: Convert to fraction form
    12,691.47/17,516.31 = 8,709.31/x
  3. Step 3: Cross multiply
    12,691.47x = 17,516.31 × 8,709.31
  4. Step 4: Simplify right side
    12,691.47x = 152,554,973.85
  5. Step 5: Solve for x
    x = 152,554,973.85/12,691.47
  6. Step 6: Final answer
    x = 12,020.28

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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.