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Finding the Fourth Proportional to 22,702.92, 34,047.14 and 7,502.65

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Solution

The fourth proportional to 22,702.92, 34,047.14 and 7,502.65 is: 11,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.92 : 34,047.14 = 7,502.65 : x
  2. Step 2: Convert to fraction form
    22,702.92/34,047.14 = 7,502.65/x
  3. Step 3: Cross multiply
    22,702.92x = 34,047.14 × 7,502.65
  4. Step 4: Simplify right side
    22,702.92x = 255,443,737.41
  5. Step 5: Solve for x
    x = 255,443,737.41/22,702.92
  6. Step 6: Final answer
    x = 11,251.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.