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Finding the Fourth Proportional to 22,674, 34,014.06 and 7,092.84

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Solution

The fourth proportional to 22,674, 34,014.06 and 7,092.84 is: 10,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674 : 34,014.06 = 7,092.84 : x
  2. Step 2: Convert to fraction form
    22,674/34,014.06 = 7,092.84/x
  3. Step 3: Cross multiply
    22,674x = 34,014.06 × 7,092.84
  4. Step 4: Simplify right side
    22,674x = 241,256,285.33
  5. Step 5: Solve for x
    x = 241,256,285.33/22,674
  6. Step 6: Final answer
    x = 10,640.22

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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.