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Finding the Fourth Proportional to 25,033.54, 34,545.76 and 13,702.78

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Solution

The fourth proportional to 25,033.54, 34,545.76 and 13,702.78 is: 18,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,033.54 : 34,545.76 = 13,702.78 : x
  2. Step 2: Convert to fraction form
    25,033.54/34,545.76 = 13,702.78/x
  3. Step 3: Cross multiply
    25,033.54x = 34,545.76 × 13,702.78
  4. Step 4: Simplify right side
    25,033.54x = 473,372,949.21
  5. Step 5: Solve for x
    x = 473,372,949.21/25,033.54
  6. Step 6: Final answer
    x = 18,909.55

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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.