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Finding the Fourth Proportional to 12,778.25, 19,170.42 and 4,013.16

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Solution

The fourth proportional to 12,778.25, 19,170.42 and 4,013.16 is: 6,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.25 : 19,170.42 = 4,013.16 : x
  2. Step 2: Convert to fraction form
    12,778.25/19,170.42 = 4,013.16/x
  3. Step 3: Cross multiply
    12,778.25x = 19,170.42 × 4,013.16
  4. Step 4: Simplify right side
    12,778.25x = 76,933,962.73
  5. Step 5: Solve for x
    x = 76,933,962.73/12,778.25
  6. Step 6: Final answer
    x = 6,020.70

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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.