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Finding the Fourth Proportional to 13,399.80, 20,112 and 6,830.88

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Solution

The fourth proportional to 13,399.80, 20,112 and 6,830.88 is: 10,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.80 : 20,112 = 6,830.88 : x
  2. Step 2: Convert to fraction form
    13,399.80/20,112 = 6,830.88/x
  3. Step 3: Cross multiply
    13,399.80x = 20,112 × 6,830.88
  4. Step 4: Simplify right side
    13,399.80x = 137,382,658.56
  5. Step 5: Solve for x
    x = 137,382,658.56/13,399.80
  6. Step 6: Final answer
    x = 10,252.59

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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.