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Finding the Fourth Proportional to 24,742.91, 37,116.11 and 9,951.90

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Solution

The fourth proportional to 24,742.91, 37,116.11 and 9,951.90 is: 14,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.91 : 37,116.11 = 9,951.90 : x
  2. Step 2: Convert to fraction form
    24,742.91/37,116.11 = 9,951.90/x
  3. Step 3: Cross multiply
    24,742.91x = 37,116.11 × 9,951.90
  4. Step 4: Simplify right side
    24,742.91x = 369,375,839.99
  5. Step 5: Solve for x
    x = 369,375,839.99/24,742.91
  6. Step 6: Final answer
    x = 14,928.56

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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.