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Finding the Fourth Proportional to 23,146.80, 34,720.20 and 8,360.52

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Solution

The fourth proportional to 23,146.80, 34,720.20 and 8,360.52 is: 12,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.80 : 34,720.20 = 8,360.52 : x
  2. Step 2: Convert to fraction form
    23,146.80/34,720.20 = 8,360.52/x
  3. Step 3: Cross multiply
    23,146.80x = 34,720.20 × 8,360.52
  4. Step 4: Simplify right side
    23,146.80x = 290,278,926.50
  5. Step 5: Solve for x
    x = 290,278,926.50/23,146.80
  6. Step 6: Final answer
    x = 12,540.78

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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.