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Finding the Fourth Proportional to 17,422.31, 24,042.84 and 10,252.50

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Solution

The fourth proportional to 17,422.31, 24,042.84 and 10,252.50 is: 14,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.31 : 24,042.84 = 10,252.50 : x
  2. Step 2: Convert to fraction form
    17,422.31/24,042.84 = 10,252.50/x
  3. Step 3: Cross multiply
    17,422.31x = 24,042.84 × 10,252.50
  4. Step 4: Simplify right side
    17,422.31x = 246,499,217.10
  5. Step 5: Solve for x
    x = 246,499,217.10/17,422.31
  6. Step 6: Final answer
    x = 14,148.48

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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.