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Finding the Fourth Proportional to 16,199.53, 22,352.65 and 9,027.88

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Solution

The fourth proportional to 16,199.53, 22,352.65 and 9,027.88 is: 12,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.53 : 22,352.65 = 9,027.88 : x
  2. Step 2: Convert to fraction form
    16,199.53/22,352.65 = 9,027.88/x
  3. Step 3: Cross multiply
    16,199.53x = 22,352.65 × 9,027.88
  4. Step 4: Simplify right side
    16,199.53x = 201,797,077.53
  5. Step 5: Solve for x
    x = 201,797,077.53/16,199.53
  6. Step 6: Final answer
    x = 12,456.97

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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.