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Finding the Fourth Proportional to 13,873.80, 20,813.40 and 4,013.40

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Solution

The fourth proportional to 13,873.80, 20,813.40 and 4,013.40 is: 6,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.80 : 20,813.40 = 4,013.40 : x
  2. Step 2: Convert to fraction form
    13,873.80/20,813.40 = 4,013.40/x
  3. Step 3: Cross multiply
    13,873.80x = 20,813.40 × 4,013.40
  4. Step 4: Simplify right side
    13,873.80x = 83,532,499.56
  5. Step 5: Solve for x
    x = 83,532,499.56/13,873.80
  6. Step 6: Final answer
    x = 6,020.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.