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Finding the Fourth Proportional to 12,193.60, 18,291.20 and 3,428.80

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Solution

The fourth proportional to 12,193.60, 18,291.20 and 3,428.80 is: 5,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.60 : 18,291.20 = 3,428.80 : x
  2. Step 2: Convert to fraction form
    12,193.60/18,291.20 = 3,428.80/x
  3. Step 3: Cross multiply
    12,193.60x = 18,291.20 × 3,428.80
  4. Step 4: Simplify right side
    12,193.60x = 62,716,866.56
  5. Step 5: Solve for x
    x = 62,716,866.56/12,193.60
  6. Step 6: Final answer
    x = 5,143.42

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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.