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Finding the Fourth Proportional to 17,414.45, 24,032.03 and 9,456.66

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Solution

The fourth proportional to 17,414.45, 24,032.03 and 9,456.66 is: 13,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.45 : 24,032.03 = 9,456.66 : x
  2. Step 2: Convert to fraction form
    17,414.45/24,032.03 = 9,456.66/x
  3. Step 3: Cross multiply
    17,414.45x = 24,032.03 × 9,456.66
  4. Step 4: Simplify right side
    17,414.45x = 227,262,689.54
  5. Step 5: Solve for x
    x = 227,262,689.54/17,414.45
  6. Step 6: Final answer
    x = 13,050.24

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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.