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Finding the Fourth Proportional to 13,793.68, 20,671.88 and 9,889.48

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Solution

The fourth proportional to 13,793.68, 20,671.88 and 9,889.48 is: 14,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.68 : 20,671.88 = 9,889.48 : x
  2. Step 2: Convert to fraction form
    13,793.68/20,671.88 = 9,889.48/x
  3. Step 3: Cross multiply
    13,793.68x = 20,671.88 × 9,889.48
  4. Step 4: Simplify right side
    13,793.68x = 204,434,143.82
  5. Step 5: Solve for x
    x = 204,434,143.82/13,793.68
  6. Step 6: Final answer
    x = 14,820.86

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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.