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Finding the Fourth Proportional to 24,321.68, 36,479.24 and 6,793.28

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Solution

The fourth proportional to 24,321.68, 36,479.24 and 6,793.28 is: 10,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.68 : 36,479.24 = 6,793.28 : x
  2. Step 2: Convert to fraction form
    24,321.68/36,479.24 = 6,793.28/x
  3. Step 3: Cross multiply
    24,321.68x = 36,479.24 × 6,793.28
  4. Step 4: Simplify right side
    24,321.68x = 247,813,691.51
  5. Step 5: Solve for x
    x = 247,813,691.51/24,321.68
  6. Step 6: Final answer
    x = 10,189.00

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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.