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Finding the Fourth Proportional to 27,022.24, 40,531.83 and 7,299.31

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Solution

The fourth proportional to 27,022.24, 40,531.83 and 7,299.31 is: 10,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.24 : 40,531.83 = 7,299.31 : x
  2. Step 2: Convert to fraction form
    27,022.24/40,531.83 = 7,299.31/x
  3. Step 3: Cross multiply
    27,022.24x = 40,531.83 × 7,299.31
  4. Step 4: Simplify right side
    27,022.24x = 295,854,392.04
  5. Step 5: Solve for x
    x = 295,854,392.04/27,022.24
  6. Step 6: Final answer
    x = 10,948.55

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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.