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Finding the Fourth Proportional to 13,727.17, 20,687.45 and 12,412.42

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Solution

The fourth proportional to 13,727.17, 20,687.45 and 12,412.42 is: 18,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.17 : 20,687.45 = 12,412.42 : x
  2. Step 2: Convert to fraction form
    13,727.17/20,687.45 = 12,412.42/x
  3. Step 3: Cross multiply
    13,727.17x = 20,687.45 × 12,412.42
  4. Step 4: Simplify right side
    13,727.17x = 256,781,318.13
  5. Step 5: Solve for x
    x = 256,781,318.13/13,727.17
  6. Step 6: Final answer
    x = 18,706.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.