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Finding the Fourth Proportional to 17,422.24, 24,042.71 and 9,464.46

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Solution

The fourth proportional to 17,422.24, 24,042.71 and 9,464.46 is: 13,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.24 : 24,042.71 = 9,464.46 : x
  2. Step 2: Convert to fraction form
    17,422.24/24,042.71 = 9,464.46/x
  3. Step 3: Cross multiply
    17,422.24x = 24,042.71 × 9,464.46
  4. Step 4: Simplify right side
    17,422.24x = 227,551,219.76
  5. Step 5: Solve for x
    x = 227,551,219.76/17,422.24
  6. Step 6: Final answer
    x = 13,060.97

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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.