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Finding the Fourth Proportional to 12,524.76, 17,260.38 and 8,981.82

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Solution

The fourth proportional to 12,524.76, 17,260.38 and 8,981.82 is: 12,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.76 : 17,260.38 = 8,981.82 : x
  2. Step 2: Convert to fraction form
    12,524.76/17,260.38 = 8,981.82/x
  3. Step 3: Cross multiply
    12,524.76x = 17,260.38 × 8,981.82
  4. Step 4: Simplify right side
    12,524.76x = 155,029,626.29
  5. Step 5: Solve for x
    x = 155,029,626.29/12,524.76
  6. Step 6: Final answer
    x = 12,377.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.