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Finding the Fourth Proportional to 12,581.24, 17,367.84 and 9,224.24

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Solution

The fourth proportional to 12,581.24, 17,367.84 and 9,224.24 is: 12,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.24 : 17,367.84 = 9,224.24 : x
  2. Step 2: Convert to fraction form
    12,581.24/17,367.84 = 9,224.24/x
  3. Step 3: Cross multiply
    12,581.24x = 17,367.84 × 9,224.24
  4. Step 4: Simplify right side
    12,581.24x = 160,205,124.44
  5. Step 5: Solve for x
    x = 160,205,124.44/12,581.24
  6. Step 6: Final answer
    x = 12,733.65

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