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Finding the Fourth Proportional to 15,321.76, 22,984.49 and 5,462.03

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Solution

The fourth proportional to 15,321.76, 22,984.49 and 5,462.03 is: 8,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.76 : 22,984.49 = 5,462.03 : x
  2. Step 2: Convert to fraction form
    15,321.76/22,984.49 = 5,462.03/x
  3. Step 3: Cross multiply
    15,321.76x = 22,984.49 × 5,462.03
  4. Step 4: Simplify right side
    15,321.76x = 125,542,045.03
  5. Step 5: Solve for x
    x = 125,542,045.03/15,321.76
  6. Step 6: Final answer
    x = 8,193.71

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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.