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Finding the Fourth Proportional to 24,076.56, 36,117.24 and 9,079.88

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Solution

The fourth proportional to 24,076.56, 36,117.24 and 9,079.88 is: 13,620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.56 : 36,117.24 = 9,079.88 : x
  2. Step 2: Convert to fraction form
    24,076.56/36,117.24 = 9,079.88/x
  3. Step 3: Cross multiply
    24,076.56x = 36,117.24 × 9,079.88
  4. Step 4: Simplify right side
    24,076.56x = 327,940,205.13
  5. Step 5: Solve for x
    x = 327,940,205.13/24,076.56
  6. Step 6: Final answer
    x = 13,620.73

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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.