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Finding the Fourth Proportional to 27,744, 41,621.47 and 9,022.83

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Solution

The fourth proportional to 27,744, 41,621.47 and 9,022.83 is: 13,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 41,621.47 = 9,022.83 : x
  2. Step 2: Convert to fraction form
    27,744/41,621.47 = 9,022.83/x
  3. Step 3: Cross multiply
    27,744x = 41,621.47 × 9,022.83
  4. Step 4: Simplify right side
    27,744x = 375,543,448.16
  5. Step 5: Solve for x
    x = 375,543,448.16/27,744
  6. Step 6: Final answer
    x = 13,536.02

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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.