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Finding the Fourth Proportional to 21,197.40, 29,251.14 and 11,765.97

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Solution

The fourth proportional to 21,197.40, 29,251.14 and 11,765.97 is: 16,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.40 : 29,251.14 = 11,765.97 : x
  2. Step 2: Convert to fraction form
    21,197.40/29,251.14 = 11,765.97/x
  3. Step 3: Cross multiply
    21,197.40x = 29,251.14 × 11,765.97
  4. Step 4: Simplify right side
    21,197.40x = 344,168,035.71
  5. Step 5: Solve for x
    x = 344,168,035.71/21,197.40
  6. Step 6: Final answer
    x = 16,236.33

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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.