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Finding the Fourth Proportional to 12,538.47, 18,802.84 and 6,691.89

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Solution

The fourth proportional to 12,538.47, 18,802.84 and 6,691.89 is: 10,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.47 : 18,802.84 = 6,691.89 : x
  2. Step 2: Convert to fraction form
    12,538.47/18,802.84 = 6,691.89/x
  3. Step 3: Cross multiply
    12,538.47x = 18,802.84 × 6,691.89
  4. Step 4: Simplify right side
    12,538.47x = 125,826,536.97
  5. Step 5: Solve for x
    x = 125,826,536.97/12,538.47
  6. Step 6: Final answer
    x = 10,035.24

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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.