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Finding the Fourth Proportional to 13,149.14, 19,736.31 and 8,228.66

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Solution

The fourth proportional to 13,149.14, 19,736.31 and 8,228.66 is: 12,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.14 : 19,736.31 = 8,228.66 : x
  2. Step 2: Convert to fraction form
    13,149.14/19,736.31 = 8,228.66/x
  3. Step 3: Cross multiply
    13,149.14x = 19,736.31 × 8,228.66
  4. Step 4: Simplify right side
    13,149.14x = 162,403,384.64
  5. Step 5: Solve for x
    x = 162,403,384.64/13,149.14
  6. Step 6: Final answer
    x = 12,350.88

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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.