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Finding the Fourth Proportional to 12,193.90, 18,291.52 and 3,428.12

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Solution

The fourth proportional to 12,193.90, 18,291.52 and 3,428.12 is: 5,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.90 : 18,291.52 = 3,428.12 : x
  2. Step 2: Convert to fraction form
    12,193.90/18,291.52 = 3,428.12/x
  3. Step 3: Cross multiply
    12,193.90x = 18,291.52 × 3,428.12
  4. Step 4: Simplify right side
    12,193.90x = 62,705,525.54
  5. Step 5: Solve for x
    x = 62,705,525.54/12,193.90
  6. Step 6: Final answer
    x = 5,142.37

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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.