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Finding the Fourth Proportional to 22,922, 34,375.80 and 8,881.06

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Solution

The fourth proportional to 22,922, 34,375.80 and 8,881.06 is: 13,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922 : 34,375.80 = 8,881.06 : x
  2. Step 2: Convert to fraction form
    22,922/34,375.80 = 8,881.06/x
  3. Step 3: Cross multiply
    22,922x = 34,375.80 × 8,881.06
  4. Step 4: Simplify right side
    22,922x = 305,293,542.35
  5. Step 5: Solve for x
    x = 305,293,542.35/22,922
  6. Step 6: Final answer
    x = 13,318.80

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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.