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Finding the Fourth Proportional to 22,982.01, 34,475.01 and 6,342.05

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Solution

The fourth proportional to 22,982.01, 34,475.01 and 6,342.05 is: 9,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.01 : 34,475.01 = 6,342.05 : x
  2. Step 2: Convert to fraction form
    22,982.01/34,475.01 = 6,342.05/x
  3. Step 3: Cross multiply
    22,982.01x = 34,475.01 × 6,342.05
  4. Step 4: Simplify right side
    22,982.01x = 218,642,105.65
  5. Step 5: Solve for x
    x = 218,642,105.65/22,982.01
  6. Step 6: Final answer
    x = 9,513.62

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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.