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Finding the Fourth Proportional to 16,251.12, 24,345.54 and 9,657.30

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Solution

The fourth proportional to 16,251.12, 24,345.54 and 9,657.30 is: 14,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.12 : 24,345.54 = 9,657.30 : x
  2. Step 2: Convert to fraction form
    16,251.12/24,345.54 = 9,657.30/x
  3. Step 3: Cross multiply
    16,251.12x = 24,345.54 × 9,657.30
  4. Step 4: Simplify right side
    16,251.12x = 235,112,183.44
  5. Step 5: Solve for x
    x = 235,112,183.44/16,251.12
  6. Step 6: Final answer
    x = 14,467.44

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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.