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Finding the Fourth Proportional to 27,744.25, 38,287.20 and 15,169

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Solution

The fourth proportional to 27,744.25, 38,287.20 and 15,169 is: 20,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.25 : 38,287.20 = 15,169 : x
  2. Step 2: Convert to fraction form
    27,744.25/38,287.20 = 15,169/x
  3. Step 3: Cross multiply
    27,744.25x = 38,287.20 × 15,169
  4. Step 4: Simplify right side
    27,744.25x = 580,778,536.80
  5. Step 5: Solve for x
    x = 580,778,536.80/27,744.25
  6. Step 6: Final answer
    x = 20,933.29

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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.