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Finding the Fourth Proportional to 23,139.68, 34,704.05 and 9,984.87

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Solution

The fourth proportional to 23,139.68, 34,704.05 and 9,984.87 is: 14,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.68 : 34,704.05 = 9,984.87 : x
  2. Step 2: Convert to fraction form
    23,139.68/34,704.05 = 9,984.87/x
  3. Step 3: Cross multiply
    23,139.68x = 34,704.05 × 9,984.87
  4. Step 4: Simplify right side
    23,139.68x = 346,515,377.80
  5. Step 5: Solve for x
    x = 346,515,377.80/23,139.68
  6. Step 6: Final answer
    x = 14,974.95

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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.