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Finding the Fourth Proportional to 17,422.25, 24,042.60 and 9,464.31

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Solution

The fourth proportional to 17,422.25, 24,042.60 and 9,464.31 is: 13,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.25 : 24,042.60 = 9,464.31 : x
  2. Step 2: Convert to fraction form
    17,422.25/24,042.60 = 9,464.31/x
  3. Step 3: Cross multiply
    17,422.25x = 24,042.60 × 9,464.31
  4. Step 4: Simplify right side
    17,422.25x = 227,546,619.61
  5. Step 5: Solve for x
    x = 227,546,619.61/17,422.25
  6. Step 6: Final answer
    x = 13,060.69

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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.