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Finding the Fourth Proportional to 24,257.97, 36,375.43 and 8,461.08

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Solution

The fourth proportional to 24,257.97, 36,375.43 and 8,461.08 is: 12,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.97 : 36,375.43 = 8,461.08 : x
  2. Step 2: Convert to fraction form
    24,257.97/36,375.43 = 8,461.08/x
  3. Step 3: Cross multiply
    24,257.97x = 36,375.43 × 8,461.08
  4. Step 4: Simplify right side
    24,257.97x = 307,775,318.04
  5. Step 5: Solve for x
    x = 307,775,318.04/24,257.97
  6. Step 6: Final answer
    x = 12,687.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.