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Finding the Fourth Proportional to 27,690.65, 38,213.96 and 15,755.70

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Solution

The fourth proportional to 27,690.65, 38,213.96 and 15,755.70 is: 21,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.65 : 38,213.96 = 15,755.70 : x
  2. Step 2: Convert to fraction form
    27,690.65/38,213.96 = 15,755.70/x
  3. Step 3: Cross multiply
    27,690.65x = 38,213.96 × 15,755.70
  4. Step 4: Simplify right side
    27,690.65x = 602,087,610.79
  5. Step 5: Solve for x
    x = 602,087,610.79/27,690.65
  6. Step 6: Final answer
    x = 21,743.36

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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.