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Finding the Fourth Proportional to 14,143.57, 21,218.08 and 5,377.80

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Solution

The fourth proportional to 14,143.57, 21,218.08 and 5,377.80 is: 8,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.57 : 21,218.08 = 5,377.80 : x
  2. Step 2: Convert to fraction form
    14,143.57/21,218.08 = 5,377.80/x
  3. Step 3: Cross multiply
    14,143.57x = 21,218.08 × 5,377.80
  4. Step 4: Simplify right side
    14,143.57x = 114,106,517.78
  5. Step 5: Solve for x
    x = 114,106,517.78/14,143.57
  6. Step 6: Final answer
    x = 8,067.73

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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.