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Finding the Fourth Proportional to 12,794.18, 19,191.40 and 4,029.16

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Solution

The fourth proportional to 12,794.18, 19,191.40 and 4,029.16 is: 6,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.18 : 19,191.40 = 4,029.16 : x
  2. Step 2: Convert to fraction form
    12,794.18/19,191.40 = 4,029.16/x
  3. Step 3: Cross multiply
    12,794.18x = 19,191.40 × 4,029.16
  4. Step 4: Simplify right side
    12,794.18x = 77,325,221.22
  5. Step 5: Solve for x
    x = 77,325,221.22/12,794.18
  6. Step 6: Final answer
    x = 6,043.78

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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.