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Finding the Fourth Proportional to 17,414.90, 24,032.18 and 9,457.05

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Solution

The fourth proportional to 17,414.90, 24,032.18 and 9,457.05 is: 13,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.90 : 24,032.18 = 9,457.05 : x
  2. Step 2: Convert to fraction form
    17,414.90/24,032.18 = 9,457.05/x
  3. Step 3: Cross multiply
    17,414.90x = 24,032.18 × 9,457.05
  4. Step 4: Simplify right side
    17,414.90x = 227,273,527.87
  5. Step 5: Solve for x
    x = 227,273,527.87/17,414.90
  6. Step 6: Final answer
    x = 13,050.52

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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.