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Finding the Fourth Proportional to 12,654.90, 17,447.49 and 10,377.89

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Solution

The fourth proportional to 12,654.90, 17,447.49 and 10,377.89 is: 14,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.90 : 17,447.49 = 10,377.89 : x
  2. Step 2: Convert to fraction form
    12,654.90/17,447.49 = 10,377.89/x
  3. Step 3: Cross multiply
    12,654.90x = 17,447.49 × 10,377.89
  4. Step 4: Simplify right side
    12,654.90x = 181,068,044.76
  5. Step 5: Solve for x
    x = 181,068,044.76/12,654.90
  6. Step 6: Final answer
    x = 14,308.14

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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.