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Finding the Fourth Proportional to 12,872.13, 19,319.13 and 5,086.41

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Solution

The fourth proportional to 12,872.13, 19,319.13 and 5,086.41 is: 7,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.13 : 19,319.13 = 5,086.41 : x
  2. Step 2: Convert to fraction form
    12,872.13/19,319.13 = 5,086.41/x
  3. Step 3: Cross multiply
    12,872.13x = 19,319.13 × 5,086.41
  4. Step 4: Simplify right side
    12,872.13x = 98,265,016.02
  5. Step 5: Solve for x
    x = 98,265,016.02/12,872.13
  6. Step 6: Final answer
    x = 7,633.94

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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.