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Finding the Fourth Proportional to 22,518.69, 33,779.76 and 7,727.49

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Solution

The fourth proportional to 22,518.69, 33,779.76 and 7,727.49 is: 11,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.69 : 33,779.76 = 7,727.49 : x
  2. Step 2: Convert to fraction form
    22,518.69/33,779.76 = 7,727.49/x
  3. Step 3: Cross multiply
    22,518.69x = 33,779.76 × 7,727.49
  4. Step 4: Simplify right side
    22,518.69x = 261,032,757.60
  5. Step 5: Solve for x
    x = 261,032,757.60/22,518.69
  6. Step 6: Final answer
    x = 11,591.83

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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.