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Finding the Fourth Proportional to 13,243.14, 18,270.44 and 7,576.74

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Solution

The fourth proportional to 13,243.14, 18,270.44 and 7,576.74 is: 10,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.14 : 18,270.44 = 7,576.74 : x
  2. Step 2: Convert to fraction form
    13,243.14/18,270.44 = 7,576.74/x
  3. Step 3: Cross multiply
    13,243.14x = 18,270.44 × 7,576.74
  4. Step 4: Simplify right side
    13,243.14x = 138,430,373.57
  5. Step 5: Solve for x
    x = 138,430,373.57/13,243.14
  6. Step 6: Final answer
    x = 10,452.99

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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.