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Finding the Fourth Proportional to 12,438.32, 17,171.24 and 9,599.31

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Solution

The fourth proportional to 12,438.32, 17,171.24 and 9,599.31 is: 13,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.32 : 17,171.24 = 9,599.31 : x
  2. Step 2: Convert to fraction form
    12,438.32/17,171.24 = 9,599.31/x
  3. Step 3: Cross multiply
    12,438.32x = 17,171.24 × 9,599.31
  4. Step 4: Simplify right side
    12,438.32x = 164,832,007.85
  5. Step 5: Solve for x
    x = 164,832,007.85/12,438.32
  6. Step 6: Final answer
    x = 13,251.96

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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.