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Finding the Fourth Proportional to 21,065.28, 31,591.17 and 11,709.78

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Solution

The fourth proportional to 21,065.28, 31,591.17 and 11,709.78 is: 17,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.28 : 31,591.17 = 11,709.78 : x
  2. Step 2: Convert to fraction form
    21,065.28/31,591.17 = 11,709.78/x
  3. Step 3: Cross multiply
    21,065.28x = 31,591.17 × 11,709.78
  4. Step 4: Simplify right side
    21,065.28x = 369,925,650.64
  5. Step 5: Solve for x
    x = 369,925,650.64/21,065.28
  6. Step 6: Final answer
    x = 17,560.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.