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Finding the Fourth Proportional to 24,902.72, 37,350.24 and 11,049.28

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Solution

The fourth proportional to 24,902.72, 37,350.24 and 11,049.28 is: 16,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.72 : 37,350.24 = 11,049.28 : x
  2. Step 2: Convert to fraction form
    24,902.72/37,350.24 = 11,049.28/x
  3. Step 3: Cross multiply
    24,902.72x = 37,350.24 × 11,049.28
  4. Step 4: Simplify right side
    24,902.72x = 412,693,259.83
  5. Step 5: Solve for x
    x = 412,693,259.83/24,902.72
  6. Step 6: Final answer
    x = 16,572.22

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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.