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Finding the Fourth Proportional to 12,685, 19,027.56 and 3,451

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Solution

The fourth proportional to 12,685, 19,027.56 and 3,451 is: 5,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685 : 19,027.56 = 3,451 : x
  2. Step 2: Convert to fraction form
    12,685/19,027.56 = 3,451/x
  3. Step 3: Cross multiply
    12,685x = 19,027.56 × 3,451
  4. Step 4: Simplify right side
    12,685x = 65,664,109.56
  5. Step 5: Solve for x
    x = 65,664,109.56/12,685
  6. Step 6: Final answer
    x = 5,176.52

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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.