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Finding the Fourth Proportional to 24,562.92, 36,847.49 and 7,922.58

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Solution

The fourth proportional to 24,562.92, 36,847.49 and 7,922.58 is: 11,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.92 : 36,847.49 = 7,922.58 : x
  2. Step 2: Convert to fraction form
    24,562.92/36,847.49 = 7,922.58/x
  3. Step 3: Cross multiply
    24,562.92x = 36,847.49 × 7,922.58
  4. Step 4: Simplify right side
    24,562.92x = 291,927,147.71
  5. Step 5: Solve for x
    x = 291,927,147.71/24,562.92
  6. Step 6: Final answer
    x = 11,884.87

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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.