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Finding the Fourth Proportional to 13,984.87, 20,987.78 and 8,727.57

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Solution

The fourth proportional to 13,984.87, 20,987.78 and 8,727.57 is: 13,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.87 : 20,987.78 = 8,727.57 : x
  2. Step 2: Convert to fraction form
    13,984.87/20,987.78 = 8,727.57/x
  3. Step 3: Cross multiply
    13,984.87x = 20,987.78 × 8,727.57
  4. Step 4: Simplify right side
    13,984.87x = 183,172,319.09
  5. Step 5: Solve for x
    x = 183,172,319.09/13,984.87
  6. Step 6: Final answer
    x = 13,097.89

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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.