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Finding the Fourth Proportional to 13,243.16, 18,276.83 and 7,576.78

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Solution

The fourth proportional to 13,243.16, 18,276.83 and 7,576.78 is: 10,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.16 : 18,276.83 = 7,576.78 : x
  2. Step 2: Convert to fraction form
    13,243.16/18,276.83 = 7,576.78/x
  3. Step 3: Cross multiply
    13,243.16x = 18,276.83 × 7,576.78
  4. Step 4: Simplify right side
    13,243.16x = 138,479,520.01
  5. Step 5: Solve for x
    x = 138,479,520.01/13,243.16
  6. Step 6: Final answer
    x = 10,456.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.