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Finding the Fourth Proportional to 21,481.84, 32,201.22 and 10,217.35

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Solution

The fourth proportional to 21,481.84, 32,201.22 and 10,217.35 is: 15,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.84 : 32,201.22 = 10,217.35 : x
  2. Step 2: Convert to fraction form
    21,481.84/32,201.22 = 10,217.35/x
  3. Step 3: Cross multiply
    21,481.84x = 32,201.22 × 10,217.35
  4. Step 4: Simplify right side
    21,481.84x = 329,011,135.17
  5. Step 5: Solve for x
    x = 329,011,135.17/21,481.84
  6. Step 6: Final answer
    x = 15,315.78

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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.