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Finding the Fourth Proportional to 27,871.50, 38,462.73 and 15,296.22

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Solution

The fourth proportional to 27,871.50, 38,462.73 and 15,296.22 is: 21,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.50 : 38,462.73 = 15,296.22 : x
  2. Step 2: Convert to fraction form
    27,871.50/38,462.73 = 15,296.22/x
  3. Step 3: Cross multiply
    27,871.50x = 38,462.73 × 15,296.22
  4. Step 4: Simplify right side
    27,871.50x = 588,334,379.88
  5. Step 5: Solve for x
    x = 588,334,379.88/27,871.50
  6. Step 6: Final answer
    x = 21,108.82

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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.