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Finding the Fourth Proportional to 24,414.42, 36,627.24 and 8,832.06

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Solution

The fourth proportional to 24,414.42, 36,627.24 and 8,832.06 is: 13,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.42 : 36,627.24 = 8,832.06 : x
  2. Step 2: Convert to fraction form
    24,414.42/36,627.24 = 8,832.06/x
  3. Step 3: Cross multiply
    24,414.42x = 36,627.24 × 8,832.06
  4. Step 4: Simplify right side
    24,414.42x = 323,493,981.31
  5. Step 5: Solve for x
    x = 323,493,981.31/24,414.42
  6. Step 6: Final answer
    x = 13,250.12

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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.