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Finding the Fourth Proportional to 13,198.68, 19,806.66 and 5,407.56

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Solution

The fourth proportional to 13,198.68, 19,806.66 and 5,407.56 is: 8,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.68 : 19,806.66 = 5,407.56 : x
  2. Step 2: Convert to fraction form
    13,198.68/19,806.66 = 5,407.56/x
  3. Step 3: Cross multiply
    13,198.68x = 19,806.66 × 5,407.56
  4. Step 4: Simplify right side
    13,198.68x = 107,105,702.35
  5. Step 5: Solve for x
    x = 107,105,702.35/13,198.68
  6. Step 6: Final answer
    x = 8,114.88

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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.