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Finding the Fourth Proportional to 12,794.31, 19,194.50 and 4,029.20

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Solution

The fourth proportional to 12,794.31, 19,194.50 and 4,029.20 is: 6,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.31 : 19,194.50 = 4,029.20 : x
  2. Step 2: Convert to fraction form
    12,794.31/19,194.50 = 4,029.20/x
  3. Step 3: Cross multiply
    12,794.31x = 19,194.50 × 4,029.20
  4. Step 4: Simplify right side
    12,794.31x = 77,338,479.40
  5. Step 5: Solve for x
    x = 77,338,479.40/12,794.31
  6. Step 6: Final answer
    x = 6,044.76

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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.