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Finding the Fourth Proportional to 22,109.79, 33,166.61 and 6,314.54

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Solution

The fourth proportional to 22,109.79, 33,166.61 and 6,314.54 is: 9,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.79 : 33,166.61 = 6,314.54 : x
  2. Step 2: Convert to fraction form
    22,109.79/33,166.61 = 6,314.54/x
  3. Step 3: Cross multiply
    22,109.79x = 33,166.61 × 6,314.54
  4. Step 4: Simplify right side
    22,109.79x = 209,431,933.86
  5. Step 5: Solve for x
    x = 209,431,933.86/22,109.79
  6. Step 6: Final answer
    x = 9,472.36

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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.