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Finding the Fourth Proportional to 13,195.76, 18,209.38 and 7,226.24

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Solution

The fourth proportional to 13,195.76, 18,209.38 and 7,226.24 is: 9,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.76 : 18,209.38 = 7,226.24 : x
  2. Step 2: Convert to fraction form
    13,195.76/18,209.38 = 7,226.24/x
  3. Step 3: Cross multiply
    13,195.76x = 18,209.38 × 7,226.24
  4. Step 4: Simplify right side
    13,195.76x = 131,585,350.13
  5. Step 5: Solve for x
    x = 131,585,350.13/13,195.76
  6. Step 6: Final answer
    x = 9,971.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.