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Finding the Fourth Proportional to 12,778.20, 19,169.10 and 4,012.20

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Solution

The fourth proportional to 12,778.20, 19,169.10 and 4,012.20 is: 6,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.20 : 19,169.10 = 4,012.20 : x
  2. Step 2: Convert to fraction form
    12,778.20/19,169.10 = 4,012.20/x
  3. Step 3: Cross multiply
    12,778.20x = 19,169.10 × 4,012.20
  4. Step 4: Simplify right side
    12,778.20x = 76,910,263.02
  5. Step 5: Solve for x
    x = 76,910,263.02/12,778.20
  6. Step 6: Final answer
    x = 6,018.87

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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.