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Finding the Fourth Proportional to 27,641.19, 38,144.97 and 15,705.19

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Solution

The fourth proportional to 27,641.19, 38,144.97 and 15,705.19 is: 21,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.19 : 38,144.97 = 15,705.19 : x
  2. Step 2: Convert to fraction form
    27,641.19/38,144.97 = 15,705.19/x
  3. Step 3: Cross multiply
    27,641.19x = 38,144.97 × 15,705.19
  4. Step 4: Simplify right side
    27,641.19x = 599,074,001.39
  5. Step 5: Solve for x
    x = 599,074,001.39/27,641.19
  6. Step 6: Final answer
    x = 21,673.23

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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.