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Finding the Fourth Proportional to 12,338.21, 17,032.29 and 7,867.97

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Solution

The fourth proportional to 12,338.21, 17,032.29 and 7,867.97 is: 10,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.21 : 17,032.29 = 7,867.97 : x
  2. Step 2: Convert to fraction form
    12,338.21/17,032.29 = 7,867.97/x
  3. Step 3: Cross multiply
    12,338.21x = 17,032.29 × 7,867.97
  4. Step 4: Simplify right side
    12,338.21x = 134,009,546.75
  5. Step 5: Solve for x
    x = 134,009,546.75/12,338.21
  6. Step 6: Final answer
    x = 10,861.34

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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.