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Finding the Fourth Proportional to 27,710.80, 38,231.42 and 15,771.14

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Solution

The fourth proportional to 27,710.80, 38,231.42 and 15,771.14 is: 21,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.80 : 38,231.42 = 15,771.14 : x
  2. Step 2: Convert to fraction form
    27,710.80/38,231.42 = 15,771.14/x
  3. Step 3: Cross multiply
    27,710.80x = 38,231.42 × 15,771.14
  4. Step 4: Simplify right side
    27,710.80x = 602,953,077.22
  5. Step 5: Solve for x
    x = 602,953,077.22/27,710.80
  6. Step 6: Final answer
    x = 21,758.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.