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Finding the Fourth Proportional to 13,871.76, 20,814.96 and 6,078.72

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Solution

The fourth proportional to 13,871.76, 20,814.96 and 6,078.72 is: 9,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.76 : 20,814.96 = 6,078.72 : x
  2. Step 2: Convert to fraction form
    13,871.76/20,814.96 = 6,078.72/x
  3. Step 3: Cross multiply
    13,871.76x = 20,814.96 × 6,078.72
  4. Step 4: Simplify right side
    13,871.76x = 126,528,313.65
  5. Step 5: Solve for x
    x = 126,528,313.65/13,871.76
  6. Step 6: Final answer
    x = 9,121.29

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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.