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Finding the Fourth Proportional to 24,805.92, 34,232.78 and 14,198.97

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Solution

The fourth proportional to 24,805.92, 34,232.78 and 14,198.97 is: 19,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.92 : 34,232.78 = 14,198.97 : x
  2. Step 2: Convert to fraction form
    24,805.92/34,232.78 = 14,198.97/x
  3. Step 3: Cross multiply
    24,805.92x = 34,232.78 × 14,198.97
  4. Step 4: Simplify right side
    24,805.92x = 486,070,216.24
  5. Step 5: Solve for x
    x = 486,070,216.24/24,805.92
  6. Step 6: Final answer
    x = 19,594.93

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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.