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Finding the Fourth Proportional to 13,913.40, 20,891.70 and 8,081.40

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Solution

The fourth proportional to 13,913.40, 20,891.70 and 8,081.40 is: 12,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.40 : 20,891.70 = 8,081.40 : x
  2. Step 2: Convert to fraction form
    13,913.40/20,891.70 = 8,081.40/x
  3. Step 3: Cross multiply
    13,913.40x = 20,891.70 × 8,081.40
  4. Step 4: Simplify right side
    13,913.40x = 168,834,184.38
  5. Step 5: Solve for x
    x = 168,834,184.38/13,913.40
  6. Step 6: Final answer
    x = 12,134.65

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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.