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Finding the Fourth Proportional to 13,429.70, 20,144.55 and 4,195.70

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Solution

The fourth proportional to 13,429.70, 20,144.55 and 4,195.70 is: 6,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.70 : 20,144.55 = 4,195.70 : x
  2. Step 2: Convert to fraction form
    13,429.70/20,144.55 = 4,195.70/x
  3. Step 3: Cross multiply
    13,429.70x = 20,144.55 × 4,195.70
  4. Step 4: Simplify right side
    13,429.70x = 84,520,488.44
  5. Step 5: Solve for x
    x = 84,520,488.44/13,429.70
  6. Step 6: Final answer
    x = 6,293.55

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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.