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Finding the Fourth Proportional to 16,568, 22,863.92 and 9,014.40

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Solution

The fourth proportional to 16,568, 22,863.92 and 9,014.40 is: 12,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568 : 22,863.92 = 9,014.40 : x
  2. Step 2: Convert to fraction form
    16,568/22,863.92 = 9,014.40/x
  3. Step 3: Cross multiply
    16,568x = 22,863.92 × 9,014.40
  4. Step 4: Simplify right side
    16,568x = 206,104,520.45
  5. Step 5: Solve for x
    x = 206,104,520.45/16,568
  6. Step 6: Final answer
    x = 12,439.92

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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.