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Finding the Fourth Proportional to 12,778.15, 19,165.88 and 3,419.11

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Solution

The fourth proportional to 12,778.15, 19,165.88 and 3,419.11 is: 5,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.15 : 19,165.88 = 3,419.11 : x
  2. Step 2: Convert to fraction form
    12,778.15/19,165.88 = 3,419.11/x
  3. Step 3: Cross multiply
    12,778.15x = 19,165.88 × 3,419.11
  4. Step 4: Simplify right side
    12,778.15x = 65,530,251.97
  5. Step 5: Solve for x
    x = 65,530,251.97/12,778.15
  6. Step 6: Final answer
    x = 5,128.31

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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.