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Finding the Fourth Proportional to 27,871.25, 38,459.77 and 16,538.78

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Solution

The fourth proportional to 27,871.25, 38,459.77 and 16,538.78 is: 22,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.25 : 38,459.77 = 16,538.78 : x
  2. Step 2: Convert to fraction form
    27,871.25/38,459.77 = 16,538.78/x
  3. Step 3: Cross multiply
    27,871.25x = 38,459.77 × 16,538.78
  4. Step 4: Simplify right side
    27,871.25x = 636,077,729.68
  5. Step 5: Solve for x
    x = 636,077,729.68/27,871.25
  6. Step 6: Final answer
    x = 22,822.01

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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.