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Finding the Fourth Proportional to 22,915.74, 31,624.98 and 12,847.42

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Solution

The fourth proportional to 22,915.74, 31,624.98 and 12,847.42 is: 17,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.74 : 31,624.98 = 12,847.42 : x
  2. Step 2: Convert to fraction form
    22,915.74/31,624.98 = 12,847.42/x
  3. Step 3: Cross multiply
    22,915.74x = 31,624.98 × 12,847.42
  4. Step 4: Simplify right side
    22,915.74x = 406,299,400.55
  5. Step 5: Solve for x
    x = 406,299,400.55/22,915.74
  6. Step 6: Final answer
    x = 17,730.15

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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.