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Finding the Fourth Proportional to 22,904.75, 34,362.02 and 7,109.43

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Solution

The fourth proportional to 22,904.75, 34,362.02 and 7,109.43 is: 10,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.75 : 34,362.02 = 7,109.43 : x
  2. Step 2: Convert to fraction form
    22,904.75/34,362.02 = 7,109.43/x
  3. Step 3: Cross multiply
    22,904.75x = 34,362.02 × 7,109.43
  4. Step 4: Simplify right side
    22,904.75x = 244,294,375.85
  5. Step 5: Solve for x
    x = 244,294,375.85/22,904.75
  6. Step 6: Final answer
    x = 10,665.66

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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.