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Finding the Fourth Proportional to 22,824.40, 34,233.90 and 6,183.40

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Solution

The fourth proportional to 22,824.40, 34,233.90 and 6,183.40 is: 9,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824.40 : 34,233.90 = 6,183.40 : x
  2. Step 2: Convert to fraction form
    22,824.40/34,233.90 = 6,183.40/x
  3. Step 3: Cross multiply
    22,824.40x = 34,233.90 × 6,183.40
  4. Step 4: Simplify right side
    22,824.40x = 211,681,897.26
  5. Step 5: Solve for x
    x = 211,681,897.26/22,824.40
  6. Step 6: Final answer
    x = 9,274.37

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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.