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Finding the Fourth Proportional to 13,981.19, 20,939.38 and 8,422.39

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Solution

The fourth proportional to 13,981.19, 20,939.38 and 8,422.39 is: 12,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.19 : 20,939.38 = 8,422.39 : x
  2. Step 2: Convert to fraction form
    13,981.19/20,939.38 = 8,422.39/x
  3. Step 3: Cross multiply
    13,981.19x = 20,939.38 × 8,422.39
  4. Step 4: Simplify right side
    13,981.19x = 176,359,624.72
  5. Step 5: Solve for x
    x = 176,359,624.72/13,981.19
  6. Step 6: Final answer
    x = 12,614.06

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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.