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Finding the Fourth Proportional to 22,402.22, 33,608.32 and 6,821.06

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Solution

The fourth proportional to 22,402.22, 33,608.32 and 6,821.06 is: 10,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.22 : 33,608.32 = 6,821.06 : x
  2. Step 2: Convert to fraction form
    22,402.22/33,608.32 = 6,821.06/x
  3. Step 3: Cross multiply
    22,402.22x = 33,608.32 × 6,821.06
  4. Step 4: Simplify right side
    22,402.22x = 229,244,182.12
  5. Step 5: Solve for x
    x = 229,244,182.12/22,402.22
  6. Step 6: Final answer
    x = 10,233.10

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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.