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Finding the Fourth Proportional to 16,256.65, 24,380.10 and 8,461.21

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Solution

The fourth proportional to 16,256.65, 24,380.10 and 8,461.21 is: 12,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.65 : 24,380.10 = 8,461.21 : x
  2. Step 2: Convert to fraction form
    16,256.65/24,380.10 = 8,461.21/x
  3. Step 3: Cross multiply
    16,256.65x = 24,380.10 × 8,461.21
  4. Step 4: Simplify right side
    16,256.65x = 206,285,084.97
  5. Step 5: Solve for x
    x = 206,285,084.97/16,256.65
  6. Step 6: Final answer
    x = 12,689.28

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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.