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Finding the Fourth Proportional to 24,476.50, 36,731.15 and 15,717.56

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Solution

The fourth proportional to 24,476.50, 36,731.15 and 15,717.56 is: 23,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.50 : 36,731.15 = 15,717.56 : x
  2. Step 2: Convert to fraction form
    24,476.50/36,731.15 = 15,717.56/x
  3. Step 3: Cross multiply
    24,476.50x = 36,731.15 × 15,717.56
  4. Step 4: Simplify right side
    24,476.50x = 577,324,145.82
  5. Step 5: Solve for x
    x = 577,324,145.82/24,476.50
  6. Step 6: Final answer
    x = 23,586.88

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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.