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Finding the Fourth Proportional to 22,433.28, 30,939.74 and 19,738.68

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Solution

The fourth proportional to 22,433.28, 30,939.74 and 19,738.68 is: 27,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.28 : 30,939.74 = 19,738.68 : x
  2. Step 2: Convert to fraction form
    22,433.28/30,939.74 = 19,738.68/x
  3. Step 3: Cross multiply
    22,433.28x = 30,939.74 × 19,738.68
  4. Step 4: Simplify right side
    22,433.28x = 610,709,627.14
  5. Step 5: Solve for x
    x = 610,709,627.14/22,433.28
  6. Step 6: Final answer
    x = 27,223.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.