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Finding the Fourth Proportional to 23,026.50, 34,517.88 and 8,976.24

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Solution

The fourth proportional to 23,026.50, 34,517.88 and 8,976.24 is: 13,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.50 : 34,517.88 = 8,976.24 : x
  2. Step 2: Convert to fraction form
    23,026.50/34,517.88 = 8,976.24/x
  3. Step 3: Cross multiply
    23,026.50x = 34,517.88 × 8,976.24
  4. Step 4: Simplify right side
    23,026.50x = 309,840,775.17
  5. Step 5: Solve for x
    x = 309,840,775.17/23,026.50
  6. Step 6: Final answer
    x = 13,455.83

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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.