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Finding the Fourth Proportional to 24,498, 36,634.86 and 18,262.26

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Solution

The fourth proportional to 24,498, 36,634.86 and 18,262.26 is: 27,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498 : 36,634.86 = 18,262.26 : x
  2. Step 2: Convert to fraction form
    24,498/36,634.86 = 18,262.26/x
  3. Step 3: Cross multiply
    24,498x = 36,634.86 × 18,262.26
  4. Step 4: Simplify right side
    24,498x = 669,035,338.38
  5. Step 5: Solve for x
    x = 669,035,338.38/24,498
  6. Step 6: Final answer
    x = 27,309.79

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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.