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Finding the Fourth Proportional to 13,507.97, 20,240.08 and 10,227.47

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Solution

The fourth proportional to 13,507.97, 20,240.08 and 10,227.47 is: 15,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.97 : 20,240.08 = 10,227.47 : x
  2. Step 2: Convert to fraction form
    13,507.97/20,240.08 = 10,227.47/x
  3. Step 3: Cross multiply
    13,507.97x = 20,240.08 × 10,227.47
  4. Step 4: Simplify right side
    13,507.97x = 207,004,684.23
  5. Step 5: Solve for x
    x = 207,004,684.23/13,507.97
  6. Step 6: Final answer
    x = 15,324.64

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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.