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Finding the Fourth Proportional to 13,424.70, 20,137.05 and 12,452.70

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Solution

The fourth proportional to 13,424.70, 20,137.05 and 12,452.70 is: 18,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.70 : 20,137.05 = 12,452.70 : x
  2. Step 2: Convert to fraction form
    13,424.70/20,137.05 = 12,452.70/x
  3. Step 3: Cross multiply
    13,424.70x = 20,137.05 × 12,452.70
  4. Step 4: Simplify right side
    13,424.70x = 250,760,642.54
  5. Step 5: Solve for x
    x = 250,760,642.54/13,424.70
  6. Step 6: Final answer
    x = 18,679.05

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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.