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Finding the Fourth Proportional to 24,478.70, 36,720.46 and 7,834.54

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Solution

The fourth proportional to 24,478.70, 36,720.46 and 7,834.54 is: 11,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.70 : 36,720.46 = 7,834.54 : x
  2. Step 2: Convert to fraction form
    24,478.70/36,720.46 = 7,834.54/x
  3. Step 3: Cross multiply
    24,478.70x = 36,720.46 × 7,834.54
  4. Step 4: Simplify right side
    24,478.70x = 287,687,912.69
  5. Step 5: Solve for x
    x = 287,687,912.69/24,478.70
  6. Step 6: Final answer
    x = 11,752.58

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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.