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Finding the Fourth Proportional to 13,439.54, 20,159.31 and 7,322.42

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Solution

The fourth proportional to 13,439.54, 20,159.31 and 7,322.42 is: 10,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.54 : 20,159.31 = 7,322.42 : x
  2. Step 2: Convert to fraction form
    13,439.54/20,159.31 = 7,322.42/x
  3. Step 3: Cross multiply
    13,439.54x = 20,159.31 × 7,322.42
  4. Step 4: Simplify right side
    13,439.54x = 147,614,934.73
  5. Step 5: Solve for x
    x = 147,614,934.73/13,439.54
  6. Step 6: Final answer
    x = 10,983.63

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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.