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Finding the Fourth Proportional to 13,744.30, 20,600.04 and 7,505.88

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Solution

The fourth proportional to 13,744.30, 20,600.04 and 7,505.88 is: 11,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.30 : 20,600.04 = 7,505.88 : x
  2. Step 2: Convert to fraction form
    13,744.30/20,600.04 = 7,505.88/x
  3. Step 3: Cross multiply
    13,744.30x = 20,600.04 × 7,505.88
  4. Step 4: Simplify right side
    13,744.30x = 154,621,287.71
  5. Step 5: Solve for x
    x = 154,621,287.71/13,744.30
  6. Step 6: Final answer
    x = 11,249.85

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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.