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Finding the Fourth Proportional to 12,686.25, 19,029.44 and 3,452.25

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Solution

The fourth proportional to 12,686.25, 19,029.44 and 3,452.25 is: 5,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.25 : 19,029.44 = 3,452.25 : x
  2. Step 2: Convert to fraction form
    12,686.25/19,029.44 = 3,452.25/x
  3. Step 3: Cross multiply
    12,686.25x = 19,029.44 × 3,452.25
  4. Step 4: Simplify right side
    12,686.25x = 65,694,392.87
  5. Step 5: Solve for x
    x = 65,694,392.87/12,686.25
  6. Step 6: Final answer
    x = 5,178.39

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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.