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Finding the Fourth Proportional to 18,332, 27,498.24 and 4,481

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Solution

The fourth proportional to 18,332, 27,498.24 and 4,481 is: 6,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,332 : 27,498.24 = 4,481 : x
  2. Step 2: Convert to fraction form
    18,332/27,498.24 = 4,481/x
  3. Step 3: Cross multiply
    18,332x = 27,498.24 × 4,481
  4. Step 4: Simplify right side
    18,332x = 123,219,613.44
  5. Step 5: Solve for x
    x = 123,219,613.44/18,332
  6. Step 6: Final answer
    x = 6,721.56

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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.