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Finding the Fourth Proportional to 15,229.88, 22,824.30 and 6,462.44

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Solution

The fourth proportional to 15,229.88, 22,824.30 and 6,462.44 is: 9,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.88 : 22,824.30 = 6,462.44 : x
  2. Step 2: Convert to fraction form
    15,229.88/22,824.30 = 6,462.44/x
  3. Step 3: Cross multiply
    15,229.88x = 22,824.30 × 6,462.44
  4. Step 4: Simplify right side
    15,229.88x = 147,500,669.29
  5. Step 5: Solve for x
    x = 147,500,669.29/15,229.88
  6. Step 6: Final answer
    x = 9,684.95

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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.