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Finding the Fourth Proportional to 16,490.71, 24,738.37 and 5,398.27

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Solution

The fourth proportional to 16,490.71, 24,738.37 and 5,398.27 is: 8,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.71 : 24,738.37 = 5,398.27 : x
  2. Step 2: Convert to fraction form
    16,490.71/24,738.37 = 5,398.27/x
  3. Step 3: Cross multiply
    16,490.71x = 24,738.37 × 5,398.27
  4. Step 4: Simplify right side
    16,490.71x = 133,544,400.62
  5. Step 5: Solve for x
    x = 133,544,400.62/16,490.71
  6. Step 6: Final answer
    x = 8,098.16

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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.