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Finding the Fourth Proportional to 12,162.42, 16,791.84 and 8,800.02

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Solution

The fourth proportional to 12,162.42, 16,791.84 and 8,800.02 is: 12,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.42 : 16,791.84 = 8,800.02 : x
  2. Step 2: Convert to fraction form
    12,162.42/16,791.84 = 8,800.02/x
  3. Step 3: Cross multiply
    12,162.42x = 16,791.84 × 8,800.02
  4. Step 4: Simplify right side
    12,162.42x = 147,768,527.84
  5. Step 5: Solve for x
    x = 147,768,527.84/12,162.42
  6. Step 6: Final answer
    x = 12,149.60

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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.