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Finding the Fourth Proportional to 22,380.76, 30,882.02 and 12,947.50

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Solution

The fourth proportional to 22,380.76, 30,882.02 and 12,947.50 is: 17,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.76 : 30,882.02 = 12,947.50 : x
  2. Step 2: Convert to fraction form
    22,380.76/30,882.02 = 12,947.50/x
  3. Step 3: Cross multiply
    22,380.76x = 30,882.02 × 12,947.50
  4. Step 4: Simplify right side
    22,380.76x = 399,844,953.95
  5. Step 5: Solve for x
    x = 399,844,953.95/22,380.76
  6. Step 6: Final answer
    x = 17,865.57

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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.