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Finding the Fourth Proportional to 12,817.74, 19,213.50 and 8,141.16

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Solution

The fourth proportional to 12,817.74, 19,213.50 and 8,141.16 is: 12,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.74 : 19,213.50 = 8,141.16 : x
  2. Step 2: Convert to fraction form
    12,817.74/19,213.50 = 8,141.16/x
  3. Step 3: Cross multiply
    12,817.74x = 19,213.50 × 8,141.16
  4. Step 4: Simplify right side
    12,817.74x = 156,420,177.66
  5. Step 5: Solve for x
    x = 156,420,177.66/12,817.74
  6. Step 6: Final answer
    x = 12,203.41

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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.