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Finding the Fourth Proportional to 12,193.79, 18,290.70 and 3,428.71

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Solution

The fourth proportional to 12,193.79, 18,290.70 and 3,428.71 is: 5,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.79 : 18,290.70 = 3,428.71 : x
  2. Step 2: Convert to fraction form
    12,193.79/18,290.70 = 3,428.71/x
  3. Step 3: Cross multiply
    12,193.79x = 18,290.70 × 3,428.71
  4. Step 4: Simplify right side
    12,193.79x = 62,713,474.20
  5. Step 5: Solve for x
    x = 62,713,474.20/12,193.79
  6. Step 6: Final answer
    x = 5,143.06

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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.