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Finding the Fourth Proportional to 22,199.78, 33,294.76 and 6,401.31

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Solution

The fourth proportional to 22,199.78, 33,294.76 and 6,401.31 is: 9,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.78 : 33,294.76 = 6,401.31 : x
  2. Step 2: Convert to fraction form
    22,199.78/33,294.76 = 6,401.31/x
  3. Step 3: Cross multiply
    22,199.78x = 33,294.76 × 6,401.31
  4. Step 4: Simplify right side
    22,199.78x = 213,129,881.66
  5. Step 5: Solve for x
    x = 213,129,881.66/22,199.78
  6. Step 6: Final answer
    x = 9,600.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.