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Finding the Fourth Proportional to 13,309.68, 19,968.30 and 6,734.64

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Solution

The fourth proportional to 13,309.68, 19,968.30 and 6,734.64 is: 10,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.68 : 19,968.30 = 6,734.64 : x
  2. Step 2: Convert to fraction form
    13,309.68/19,968.30 = 6,734.64/x
  3. Step 3: Cross multiply
    13,309.68x = 19,968.30 × 6,734.64
  4. Step 4: Simplify right side
    13,309.68x = 134,479,311.91
  5. Step 5: Solve for x
    x = 134,479,311.91/13,309.68
  6. Step 6: Final answer
    x = 10,103.87

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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.