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Finding the Fourth Proportional to 24,257.78, 36,375.14 and 8,460.89

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Solution

The fourth proportional to 24,257.78, 36,375.14 and 8,460.89 is: 12,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.78 : 36,375.14 = 8,460.89 : x
  2. Step 2: Convert to fraction form
    24,257.78/36,375.14 = 8,460.89/x
  3. Step 3: Cross multiply
    24,257.78x = 36,375.14 × 8,460.89
  4. Step 4: Simplify right side
    24,257.78x = 307,766,090.17
  5. Step 5: Solve for x
    x = 307,766,090.17/24,257.78
  6. Step 6: Final answer
    x = 12,687.32

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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.