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Finding the Fourth Proportional to 13,679.12, 20,531.64 and 6,758.48

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Solution

The fourth proportional to 13,679.12, 20,531.64 and 6,758.48 is: 10,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.12 : 20,531.64 = 6,758.48 : x
  2. Step 2: Convert to fraction form
    13,679.12/20,531.64 = 6,758.48/x
  3. Step 3: Cross multiply
    13,679.12x = 20,531.64 × 6,758.48
  4. Step 4: Simplify right side
    13,679.12x = 138,762,678.31
  5. Step 5: Solve for x
    x = 138,762,678.31/13,679.12
  6. Step 6: Final answer
    x = 10,144.12

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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.