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Finding the Fourth Proportional to 17,414.80, 24,032.43 and 9,457.16

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Solution

The fourth proportional to 17,414.80, 24,032.43 and 9,457.16 is: 13,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.80 : 24,032.43 = 9,457.16 : x
  2. Step 2: Convert to fraction form
    17,414.80/24,032.43 = 9,457.16/x
  3. Step 3: Cross multiply
    17,414.80x = 24,032.43 × 9,457.16
  4. Step 4: Simplify right side
    17,414.80x = 227,278,415.54
  5. Step 5: Solve for x
    x = 227,278,415.54/17,414.80
  6. Step 6: Final answer
    x = 13,050.88

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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.