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Finding the Fourth Proportional to 16,229.60, 24,295.80 and 9,652.40

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Solution

The fourth proportional to 16,229.60, 24,295.80 and 9,652.40 is: 14,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.60 : 24,295.80 = 9,652.40 : x
  2. Step 2: Convert to fraction form
    16,229.60/24,295.80 = 9,652.40/x
  3. Step 3: Cross multiply
    16,229.60x = 24,295.80 × 9,652.40
  4. Step 4: Simplify right side
    16,229.60x = 234,512,779.92
  5. Step 5: Solve for x
    x = 234,512,779.92/16,229.60
  6. Step 6: Final answer
    x = 14,449.70

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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.