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Finding the Fourth Proportional to 26,544.69, 39,816.02 and 6,823.42

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Solution

The fourth proportional to 26,544.69, 39,816.02 and 6,823.42 is: 10,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,544.69 : 39,816.02 = 6,823.42 : x
  2. Step 2: Convert to fraction form
    26,544.69/39,816.02 = 6,823.42/x
  3. Step 3: Cross multiply
    26,544.69x = 39,816.02 × 6,823.42
  4. Step 4: Simplify right side
    26,544.69x = 271,681,344.71
  5. Step 5: Solve for x
    x = 271,681,344.71/26,544.69
  6. Step 6: Final answer
    x = 10,234.87

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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.