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Finding the Fourth Proportional to 12,819.65, 19,214.40 and 5,791.46

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Solution

The fourth proportional to 12,819.65, 19,214.40 and 5,791.46 is: 8,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.65 : 19,214.40 = 5,791.46 : x
  2. Step 2: Convert to fraction form
    12,819.65/19,214.40 = 5,791.46/x
  3. Step 3: Cross multiply
    12,819.65x = 19,214.40 × 5,791.46
  4. Step 4: Simplify right side
    12,819.65x = 111,279,429.02
  5. Step 5: Solve for x
    x = 111,279,429.02/12,819.65
  6. Step 6: Final answer
    x = 8,680.38

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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.