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Finding the Fourth Proportional to 24,149.50, 36,220.36 and 6,615.22

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Solution

The fourth proportional to 24,149.50, 36,220.36 and 6,615.22 is: 9,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.50 : 36,220.36 = 6,615.22 : x
  2. Step 2: Convert to fraction form
    24,149.50/36,220.36 = 6,615.22/x
  3. Step 3: Cross multiply
    24,149.50x = 36,220.36 × 6,615.22
  4. Step 4: Simplify right side
    24,149.50x = 239,605,649.88
  5. Step 5: Solve for x
    x = 239,605,649.88/24,149.50
  6. Step 6: Final answer
    x = 9,921.76

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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.