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Finding the Fourth Proportional to 24,540.28, 36,806.87 and 7,898.15

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Solution

The fourth proportional to 24,540.28, 36,806.87 and 7,898.15 is: 11,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.28 : 36,806.87 = 7,898.15 : x
  2. Step 2: Convert to fraction form
    24,540.28/36,806.87 = 7,898.15/x
  3. Step 3: Cross multiply
    24,540.28x = 36,806.87 × 7,898.15
  4. Step 4: Simplify right side
    24,540.28x = 290,706,292.05
  5. Step 5: Solve for x
    x = 290,706,292.05/24,540.28
  6. Step 6: Final answer
    x = 11,846.09

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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.