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Finding the Fourth Proportional to 23,358.31, 32,235.22 and 13,286.49

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Solution

The fourth proportional to 23,358.31, 32,235.22 and 13,286.49 is: 18,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.31 : 32,235.22 = 13,286.49 : x
  2. Step 2: Convert to fraction form
    23,358.31/32,235.22 = 13,286.49/x
  3. Step 3: Cross multiply
    23,358.31x = 32,235.22 × 13,286.49
  4. Step 4: Simplify right side
    23,358.31x = 428,293,059.90
  5. Step 5: Solve for x
    x = 428,293,059.90/23,358.31
  6. Step 6: Final answer
    x = 18,335.79

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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.