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Finding the Fourth Proportional to 22,771.88, 34,161.92 and 10,297.76

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Solution

The fourth proportional to 22,771.88, 34,161.92 and 10,297.76 is: 15,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.88 : 34,161.92 = 10,297.76 : x
  2. Step 2: Convert to fraction form
    22,771.88/34,161.92 = 10,297.76/x
  3. Step 3: Cross multiply
    22,771.88x = 34,161.92 × 10,297.76
  4. Step 4: Simplify right side
    22,771.88x = 351,791,253.30
  5. Step 5: Solve for x
    x = 351,791,253.30/22,771.88
  6. Step 6: Final answer
    x = 15,448.49

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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.