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Finding the Fourth Proportional to 22,915.02, 31,624.05 and 12,842.97

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Solution

The fourth proportional to 22,915.02, 31,624.05 and 12,842.97 is: 17,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.02 : 31,624.05 = 12,842.97 : x
  2. Step 2: Convert to fraction form
    22,915.02/31,624.05 = 12,842.97/x
  3. Step 3: Cross multiply
    22,915.02x = 31,624.05 × 12,842.97
  4. Step 4: Simplify right side
    22,915.02x = 406,146,725.43
  5. Step 5: Solve for x
    x = 406,146,725.43/22,915.02
  6. Step 6: Final answer
    x = 17,724.04

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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.