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Finding the Fourth Proportional to 15,338.20, 22,958.70 and 10,964.20

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Solution

The fourth proportional to 15,338.20, 22,958.70 and 10,964.20 is: 16,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.20 : 22,958.70 = 10,964.20 : x
  2. Step 2: Convert to fraction form
    15,338.20/22,958.70 = 10,964.20/x
  3. Step 3: Cross multiply
    15,338.20x = 22,958.70 × 10,964.20
  4. Step 4: Simplify right side
    15,338.20x = 251,723,778.54
  5. Step 5: Solve for x
    x = 251,723,778.54/15,338.20
  6. Step 6: Final answer
    x = 16,411.56

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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.