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Finding the Fourth Proportional to 12,537.97, 18,802.09 and 6,691.39

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Solution

The fourth proportional to 12,537.97, 18,802.09 and 6,691.39 is: 10,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.97 : 18,802.09 = 6,691.39 : x
  2. Step 2: Convert to fraction form
    12,537.97/18,802.09 = 6,691.39/x
  3. Step 3: Cross multiply
    12,537.97x = 18,802.09 × 6,691.39
  4. Step 4: Simplify right side
    12,537.97x = 125,812,117.01
  5. Step 5: Solve for x
    x = 125,812,117.01/12,537.97
  6. Step 6: Final answer
    x = 10,034.49

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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.