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Finding the Fourth Proportional to 27,871.41, 38,463.30 and 15,771

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Solution

The fourth proportional to 27,871.41, 38,463.30 and 15,771 is: 21,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.41 : 38,463.30 = 15,771 : x
  2. Step 2: Convert to fraction form
    27,871.41/38,463.30 = 15,771/x
  3. Step 3: Cross multiply
    27,871.41x = 38,463.30 × 15,771
  4. Step 4: Simplify right side
    27,871.41x = 606,604,704.30
  5. Step 5: Solve for x
    x = 606,604,704.30/27,871.41
  6. Step 6: Final answer
    x = 21,764.41

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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.