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Finding the Fourth Proportional to 24,990, 37,455.84 and 13,891.38

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Solution

The fourth proportional to 24,990, 37,455.84 and 13,891.38 is: 20,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,990 : 37,455.84 = 13,891.38 : x
  2. Step 2: Convert to fraction form
    24,990/37,455.84 = 13,891.38/x
  3. Step 3: Cross multiply
    24,990x = 37,455.84 × 13,891.38
  4. Step 4: Simplify right side
    24,990x = 520,313,306.66
  5. Step 5: Solve for x
    x = 520,313,306.66/24,990
  6. Step 6: Final answer
    x = 20,820.86

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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.