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Finding the Fourth Proportional to 13,531.68, 20,304.81 and 10,243.98

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Solution

The fourth proportional to 13,531.68, 20,304.81 and 10,243.98 is: 15,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.68 : 20,304.81 = 10,243.98 : x
  2. Step 2: Convert to fraction form
    13,531.68/20,304.81 = 10,243.98/x
  3. Step 3: Cross multiply
    13,531.68x = 20,304.81 × 10,243.98
  4. Step 4: Simplify right side
    13,531.68x = 208,002,067.54
  5. Step 5: Solve for x
    x = 208,002,067.54/13,531.68
  6. Step 6: Final answer
    x = 15,371.49

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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.