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Finding the Fourth Proportional to 23,702.60, 35,545.66 and 13,188.60

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Solution

The fourth proportional to 23,702.60, 35,545.66 and 13,188.60 is: 19,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.60 : 35,545.66 = 13,188.60 : x
  2. Step 2: Convert to fraction form
    23,702.60/35,545.66 = 13,188.60/x
  3. Step 3: Cross multiply
    23,702.60x = 35,545.66 × 13,188.60
  4. Step 4: Simplify right side
    23,702.60x = 468,797,491.48
  5. Step 5: Solve for x
    x = 468,797,491.48/23,702.60
  6. Step 6: Final answer
    x = 19,778.32

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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.