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Finding the Fourth Proportional to 12,107.42, 18,170.94 and 6,265.70

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Solution

The fourth proportional to 12,107.42, 18,170.94 and 6,265.70 is: 9,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.42 : 18,170.94 = 6,265.70 : x
  2. Step 2: Convert to fraction form
    12,107.42/18,170.94 = 6,265.70/x
  3. Step 3: Cross multiply
    12,107.42x = 18,170.94 × 6,265.70
  4. Step 4: Simplify right side
    12,107.42x = 113,853,658.76
  5. Step 5: Solve for x
    x = 113,853,658.76/12,107.42
  6. Step 6: Final answer
    x = 9,403.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.