Home / 20,022-30,027.60-7,541.16

Finding the Fourth Proportional to 20,022, 30,027.60 and 7,541.16

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Solution

The fourth proportional to 20,022, 30,027.60 and 7,541.16 is: 11,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022 : 30,027.60 = 7,541.16 : x
  2. Step 2: Convert to fraction form
    20,022/30,027.60 = 7,541.16/x
  3. Step 3: Cross multiply
    20,022x = 30,027.60 × 7,541.16
  4. Step 4: Simplify right side
    20,022x = 226,442,936.02
  5. Step 5: Solve for x
    x = 226,442,936.02/20,022
  6. Step 6: Final answer
    x = 11,309.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.