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Finding the Fourth Proportional to 27,022.74, 40,532.58 and 7,299.81

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Solution

The fourth proportional to 27,022.74, 40,532.58 and 7,299.81 is: 10,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.74 : 40,532.58 = 7,299.81 : x
  2. Step 2: Convert to fraction form
    27,022.74/40,532.58 = 7,299.81/x
  3. Step 3: Cross multiply
    27,022.74x = 40,532.58 × 7,299.81
  4. Step 4: Simplify right side
    27,022.74x = 295,880,132.81
  5. Step 5: Solve for x
    x = 295,880,132.81/27,022.74
  6. Step 6: Final answer
    x = 10,949.30

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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.