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Finding the Fourth Proportional to 22,725.92, 31,361.46 and 12,654.08

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Solution

The fourth proportional to 22,725.92, 31,361.46 and 12,654.08 is: 17,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.92 : 31,361.46 = 12,654.08 : x
  2. Step 2: Convert to fraction form
    22,725.92/31,361.46 = 12,654.08/x
  3. Step 3: Cross multiply
    22,725.92x = 31,361.46 × 12,654.08
  4. Step 4: Simplify right side
    22,725.92x = 396,850,423.76
  5. Step 5: Solve for x
    x = 396,850,423.76/22,725.92
  6. Step 6: Final answer
    x = 17,462.46

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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.