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Finding the Fourth Proportional to 12,874.52, 19,310.56 and 4,107.90

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Solution

The fourth proportional to 12,874.52, 19,310.56 and 4,107.90 is: 6,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.52 : 19,310.56 = 4,107.90 : x
  2. Step 2: Convert to fraction form
    12,874.52/19,310.56 = 4,107.90/x
  3. Step 3: Cross multiply
    12,874.52x = 19,310.56 × 4,107.90
  4. Step 4: Simplify right side
    12,874.52x = 79,325,849.42
  5. Step 5: Solve for x
    x = 79,325,849.42/12,874.52
  6. Step 6: Final answer
    x = 6,161.46

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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.