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Finding the Fourth Proportional to 24,452.31, 36,656.46 and 8,859

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Solution

The fourth proportional to 24,452.31, 36,656.46 and 8,859 is: 13,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.31 : 36,656.46 = 8,859 : x
  2. Step 2: Convert to fraction form
    24,452.31/36,656.46 = 8,859/x
  3. Step 3: Cross multiply
    24,452.31x = 36,656.46 × 8,859
  4. Step 4: Simplify right side
    24,452.31x = 324,739,579.14
  5. Step 5: Solve for x
    x = 324,739,579.14/24,452.31
  6. Step 6: Final answer
    x = 13,280.53

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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.