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Finding the Fourth Proportional to 17,422.16, 24,042.20 and 9,464.18

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Solution

The fourth proportional to 17,422.16, 24,042.20 and 9,464.18 is: 13,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.16 : 24,042.20 = 9,464.18 : x
  2. Step 2: Convert to fraction form
    17,422.16/24,042.20 = 9,464.18/x
  3. Step 3: Cross multiply
    17,422.16x = 24,042.20 × 9,464.18
  4. Step 4: Simplify right side
    17,422.16x = 227,539,540.86
  5. Step 5: Solve for x
    x = 227,539,540.86/17,422.16
  6. Step 6: Final answer
    x = 13,060.36

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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.