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Finding the Fourth Proportional to 24,356.16, 36,512.64 and 11,869.20

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Solution

The fourth proportional to 24,356.16, 36,512.64 and 11,869.20 is: 17,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.16 : 36,512.64 = 11,869.20 : x
  2. Step 2: Convert to fraction form
    24,356.16/36,512.64 = 11,869.20/x
  3. Step 3: Cross multiply
    24,356.16x = 36,512.64 × 11,869.20
  4. Step 4: Simplify right side
    24,356.16x = 433,375,826.69
  5. Step 5: Solve for x
    x = 433,375,826.69/24,356.16
  6. Step 6: Final answer
    x = 17,793.27

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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.