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Finding the Fourth Proportional to 21,197, 29,251.86 and 11,765.36

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Solution

The fourth proportional to 21,197, 29,251.86 and 11,765.36 is: 16,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197 : 29,251.86 = 11,765.36 : x
  2. Step 2: Convert to fraction form
    21,197/29,251.86 = 11,765.36/x
  3. Step 3: Cross multiply
    21,197x = 29,251.86 × 11,765.36
  4. Step 4: Simplify right side
    21,197x = 344,158,663.57
  5. Step 5: Solve for x
    x = 344,158,663.57/21,197
  6. Step 6: Final answer
    x = 16,236.20

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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.