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Finding the Fourth Proportional to 17,414.31, 24,032.66 and 10,244.60

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Solution

The fourth proportional to 17,414.31, 24,032.66 and 10,244.60 is: 14,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.31 : 24,032.66 = 10,244.60 : x
  2. Step 2: Convert to fraction form
    17,414.31/24,032.66 = 10,244.60/x
  3. Step 3: Cross multiply
    17,414.31x = 24,032.66 × 10,244.60
  4. Step 4: Simplify right side
    17,414.31x = 246,204,988.64
  5. Step 5: Solve for x
    x = 246,204,988.64/17,414.31
  6. Step 6: Final answer
    x = 14,138.08

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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.