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Finding the Fourth Proportional to 22,380.89, 30,882.20 and 12,947.63

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Solution

The fourth proportional to 22,380.89, 30,882.20 and 12,947.63 is: 17,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.89 : 30,882.20 = 12,947.63 : x
  2. Step 2: Convert to fraction form
    22,380.89/30,882.20 = 12,947.63/x
  3. Step 3: Cross multiply
    22,380.89x = 30,882.20 × 12,947.63
  4. Step 4: Simplify right side
    22,380.89x = 399,851,080.04
  5. Step 5: Solve for x
    x = 399,851,080.04/22,380.89
  6. Step 6: Final answer
    x = 17,865.74

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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.