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Finding the Fourth Proportional to 12,806.65, 19,209.97 and 3,446.68

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Solution

The fourth proportional to 12,806.65, 19,209.97 and 3,446.68 is: 5,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.65 : 19,209.97 = 3,446.68 : x
  2. Step 2: Convert to fraction form
    12,806.65/19,209.97 = 3,446.68/x
  3. Step 3: Cross multiply
    12,806.65x = 19,209.97 × 3,446.68
  4. Step 4: Simplify right side
    12,806.65x = 66,210,658.81
  5. Step 5: Solve for x
    x = 66,210,658.81/12,806.65
  6. Step 6: Final answer
    x = 5,170.02

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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.