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Finding the Fourth Proportional to 31,414.40, 43,352.30 and 17,267.54

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Solution

The fourth proportional to 31,414.40, 43,352.30 and 17,267.54 is: 23,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.40 : 43,352.30 = 17,267.54 : x
  2. Step 2: Convert to fraction form
    31,414.40/43,352.30 = 17,267.54/x
  3. Step 3: Cross multiply
    31,414.40x = 43,352.30 × 17,267.54
  4. Step 4: Simplify right side
    31,414.40x = 748,587,574.34
  5. Step 5: Solve for x
    x = 748,587,574.34/31,414.40
  6. Step 6: Final answer
    x = 23,829.44

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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.