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Finding the Fourth Proportional to 13,964.68, 20,914.65 and 13,861

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Solution

The fourth proportional to 13,964.68, 20,914.65 and 13,861 is: 20,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.68 : 20,914.65 = 13,861 : x
  2. Step 2: Convert to fraction form
    13,964.68/20,914.65 = 13,861/x
  3. Step 3: Cross multiply
    13,964.68x = 20,914.65 × 13,861
  4. Step 4: Simplify right side
    13,964.68x = 289,897,963.65
  5. Step 5: Solve for x
    x = 289,897,963.65/13,964.68
  6. Step 6: Final answer
    x = 20,759.37

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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.