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Finding the Fourth Proportional to 13,115.96, 19,679.74 and 6,874.48

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Solution

The fourth proportional to 13,115.96, 19,679.74 and 6,874.48 is: 10,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.96 : 19,679.74 = 6,874.48 : x
  2. Step 2: Convert to fraction form
    13,115.96/19,679.74 = 6,874.48/x
  3. Step 3: Cross multiply
    13,115.96x = 19,679.74 × 6,874.48
  4. Step 4: Simplify right side
    13,115.96x = 135,287,979.04
  5. Step 5: Solve for x
    x = 135,287,979.04/13,115.96
  6. Step 6: Final answer
    x = 10,314.76

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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.