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Finding the Fourth Proportional to 23,657.92, 32,635.20 and 14,702.40

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Solution

The fourth proportional to 23,657.92, 32,635.20 and 14,702.40 is: 20,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.92 : 32,635.20 = 14,702.40 : x
  2. Step 2: Convert to fraction form
    23,657.92/32,635.20 = 14,702.40/x
  3. Step 3: Cross multiply
    23,657.92x = 32,635.20 × 14,702.40
  4. Step 4: Simplify right side
    23,657.92x = 479,815,764.48
  5. Step 5: Solve for x
    x = 479,815,764.48/23,657.92
  6. Step 6: Final answer
    x = 20,281.40

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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.