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Finding the Fourth Proportional to 15,834.20, 23,761.89 and 8,443.76

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Solution

The fourth proportional to 15,834.20, 23,761.89 and 8,443.76 is: 12,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.20 : 23,761.89 = 8,443.76 : x
  2. Step 2: Convert to fraction form
    15,834.20/23,761.89 = 8,443.76/x
  3. Step 3: Cross multiply
    15,834.20x = 23,761.89 × 8,443.76
  4. Step 4: Simplify right side
    15,834.20x = 200,639,577.50
  5. Step 5: Solve for x
    x = 200,639,577.50/15,834.20
  6. Step 6: Final answer
    x = 12,671.28

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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.