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Finding the Fourth Proportional to 16,257.60, 24,387.84 and 6,767.82

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Solution

The fourth proportional to 16,257.60, 24,387.84 and 6,767.82 is: 10,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.60 : 24,387.84 = 6,767.82 : x
  2. Step 2: Convert to fraction form
    16,257.60/24,387.84 = 6,767.82/x
  3. Step 3: Cross multiply
    16,257.60x = 24,387.84 × 6,767.82
  4. Step 4: Simplify right side
    16,257.60x = 165,052,511.31
  5. Step 5: Solve for x
    x = 165,052,511.31/16,257.60
  6. Step 6: Final answer
    x = 10,152.33

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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.