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Finding the Fourth Proportional to 12,614.55, 17,398.80 and 8,136.06

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Solution

The fourth proportional to 12,614.55, 17,398.80 and 8,136.06 is: 11,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.55 : 17,398.80 = 8,136.06 : x
  2. Step 2: Convert to fraction form
    12,614.55/17,398.80 = 8,136.06/x
  3. Step 3: Cross multiply
    12,614.55x = 17,398.80 × 8,136.06
  4. Step 4: Simplify right side
    12,614.55x = 141,557,680.73
  5. Step 5: Solve for x
    x = 141,557,680.73/12,614.55
  6. Step 6: Final answer
    x = 11,221.78

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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.