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Finding the Fourth Proportional to 13,744.38, 18,967.25 and 7,456.75

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Solution

The fourth proportional to 13,744.38, 18,967.25 and 7,456.75 is: 10,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.38 : 18,967.25 = 7,456.75 : x
  2. Step 2: Convert to fraction form
    13,744.38/18,967.25 = 7,456.75/x
  3. Step 3: Cross multiply
    13,744.38x = 18,967.25 × 7,456.75
  4. Step 4: Simplify right side
    13,744.38x = 141,434,041.44
  5. Step 5: Solve for x
    x = 141,434,041.44/13,744.38
  6. Step 6: Final answer
    x = 10,290.32

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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.