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Finding the Fourth Proportional to 13,760.34, 20,621.06 and 6,839.70

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Solution

The fourth proportional to 13,760.34, 20,621.06 and 6,839.70 is: 10,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.34 : 20,621.06 = 6,839.70 : x
  2. Step 2: Convert to fraction form
    13,760.34/20,621.06 = 6,839.70/x
  3. Step 3: Cross multiply
    13,760.34x = 20,621.06 × 6,839.70
  4. Step 4: Simplify right side
    13,760.34x = 141,041,864.08
  5. Step 5: Solve for x
    x = 141,041,864.08/13,760.34
  6. Step 6: Final answer
    x = 10,249.88

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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.