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Finding the Fourth Proportional to 27,641.99, 38,146.07 and 15,705.97

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Solution

The fourth proportional to 27,641.99, 38,146.07 and 15,705.97 is: 21,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.99 : 38,146.07 = 15,705.97 : x
  2. Step 2: Convert to fraction form
    27,641.99/38,146.07 = 15,705.97/x
  3. Step 3: Cross multiply
    27,641.99x = 38,146.07 × 15,705.97
  4. Step 4: Simplify right side
    27,641.99x = 599,120,974.94
  5. Step 5: Solve for x
    x = 599,120,974.94/27,641.99
  6. Step 6: Final answer
    x = 21,674.30

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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.