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Finding the Fourth Proportional to 22,402.59, 33,608.90 and 6,821.43

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Solution

The fourth proportional to 22,402.59, 33,608.90 and 6,821.43 is: 10,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.59 : 33,608.90 = 6,821.43 : x
  2. Step 2: Convert to fraction form
    22,402.59/33,608.90 = 6,821.43/x
  3. Step 3: Cross multiply
    22,402.59x = 33,608.90 × 6,821.43
  4. Step 4: Simplify right side
    22,402.59x = 229,260,758.73
  5. Step 5: Solve for x
    x = 229,260,758.73/22,402.59
  6. Step 6: Final answer
    x = 10,233.67

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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.