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Finding the Fourth Proportional to 16,282.92, 22,474.35 and 9,568.83

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Solution

The fourth proportional to 16,282.92, 22,474.35 and 9,568.83 is: 13,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.92 : 22,474.35 = 9,568.83 : x
  2. Step 2: Convert to fraction form
    16,282.92/22,474.35 = 9,568.83/x
  3. Step 3: Cross multiply
    16,282.92x = 22,474.35 × 9,568.83
  4. Step 4: Simplify right side
    16,282.92x = 215,053,234.51
  5. Step 5: Solve for x
    x = 215,053,234.51/16,282.92
  6. Step 6: Final answer
    x = 13,207.29

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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.