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Finding the Fourth Proportional to 12,806.52, 19,209.78 and 3,446.56

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Solution

The fourth proportional to 12,806.52, 19,209.78 and 3,446.56 is: 5,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.52 : 19,209.78 = 3,446.56 : x
  2. Step 2: Convert to fraction form
    12,806.52/19,209.78 = 3,446.56/x
  3. Step 3: Cross multiply
    12,806.52x = 19,209.78 × 3,446.56
  4. Step 4: Simplify right side
    12,806.52x = 66,207,607.02
  5. Step 5: Solve for x
    x = 66,207,607.02/12,806.52
  6. Step 6: Final answer
    x = 5,169.84

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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.