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Finding the Fourth Proportional to 27,871.97, 38,460.74 and 16,539.50

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Solution

The fourth proportional to 27,871.97, 38,460.74 and 16,539.50 is: 22,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.97 : 38,460.74 = 16,539.50 : x
  2. Step 2: Convert to fraction form
    27,871.97/38,460.74 = 16,539.50/x
  3. Step 3: Cross multiply
    27,871.97x = 38,460.74 × 16,539.50
  4. Step 4: Simplify right side
    27,871.97x = 636,121,422.68
  5. Step 5: Solve for x
    x = 636,121,422.68/27,871.97
  6. Step 6: Final answer
    x = 22,822.98

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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.