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Finding the Fourth Proportional to 22,608.14, 31,205.72 and 13,654.13

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Solution

The fourth proportional to 22,608.14, 31,205.72 and 13,654.13 is: 18,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.14 : 31,205.72 = 13,654.13 : x
  2. Step 2: Convert to fraction form
    22,608.14/31,205.72 = 13,654.13/x
  3. Step 3: Cross multiply
    22,608.14x = 31,205.72 × 13,654.13
  4. Step 4: Simplify right side
    22,608.14x = 426,086,957.62
  5. Step 5: Solve for x
    x = 426,086,957.62/22,608.14
  6. Step 6: Final answer
    x = 18,846.62

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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.