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Finding the Fourth Proportional to 13,702.40, 20,545.72 and 5,372.66

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Solution

The fourth proportional to 13,702.40, 20,545.72 and 5,372.66 is: 8,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.40 : 20,545.72 = 5,372.66 : x
  2. Step 2: Convert to fraction form
    13,702.40/20,545.72 = 5,372.66/x
  3. Step 3: Cross multiply
    13,702.40x = 20,545.72 × 5,372.66
  4. Step 4: Simplify right side
    13,702.40x = 110,385,205.95
  5. Step 5: Solve for x
    x = 110,385,205.95/13,702.40
  6. Step 6: Final answer
    x = 8,055.90

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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.