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Finding the Fourth Proportional to 12,834.30, 19,251.26 and 4,069.30

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Solution

The fourth proportional to 12,834.30, 19,251.26 and 4,069.30 is: 6,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.30 : 19,251.26 = 4,069.30 : x
  2. Step 2: Convert to fraction form
    12,834.30/19,251.26 = 4,069.30/x
  3. Step 3: Cross multiply
    12,834.30x = 19,251.26 × 4,069.30
  4. Step 4: Simplify right side
    12,834.30x = 78,339,152.32
  5. Step 5: Solve for x
    x = 78,339,152.32/12,834.30
  6. Step 6: Final answer
    x = 6,103.89

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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.