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Finding the Fourth Proportional to 13,206.12, 19,806 and 3,843.60

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Solution

The fourth proportional to 13,206.12, 19,806 and 3,843.60 is: 5,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.12 : 19,806 = 3,843.60 : x
  2. Step 2: Convert to fraction form
    13,206.12/19,806 = 3,843.60/x
  3. Step 3: Cross multiply
    13,206.12x = 19,806 × 3,843.60
  4. Step 4: Simplify right side
    13,206.12x = 76,126,341.60
  5. Step 5: Solve for x
    x = 76,126,341.60/13,206.12
  6. Step 6: Final answer
    x = 5,764.47

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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.