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Finding the Fourth Proportional to 16,400.31, 24,594.42 and 5,867.46

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Solution

The fourth proportional to 16,400.31, 24,594.42 and 5,867.46 is: 8,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.31 : 24,594.42 = 5,867.46 : x
  2. Step 2: Convert to fraction form
    16,400.31/24,594.42 = 5,867.46/x
  3. Step 3: Cross multiply
    16,400.31x = 24,594.42 × 5,867.46
  4. Step 4: Simplify right side
    16,400.31x = 144,306,775.57
  5. Step 5: Solve for x
    x = 144,306,775.57/16,400.31
  6. Step 6: Final answer
    x = 8,799.03

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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.