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Finding the Fourth Proportional to 13,744.36, 18,967.27 and 7,456.78

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Solution

The fourth proportional to 13,744.36, 18,967.27 and 7,456.78 is: 10,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.36 : 18,967.27 = 7,456.78 : x
  2. Step 2: Convert to fraction form
    13,744.36/18,967.27 = 7,456.78/x
  3. Step 3: Cross multiply
    13,744.36x = 18,967.27 × 7,456.78
  4. Step 4: Simplify right side
    13,744.36x = 141,434,722.31
  5. Step 5: Solve for x
    x = 141,434,722.31/13,744.36
  6. Step 6: Final answer
    x = 10,290.38

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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.