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Finding the Fourth Proportional to 22,665.72, 33,989.76 and 7,668.83

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Solution

The fourth proportional to 22,665.72, 33,989.76 and 7,668.83 is: 11,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.72 : 33,989.76 = 7,668.83 : x
  2. Step 2: Convert to fraction form
    22,665.72/33,989.76 = 7,668.83/x
  3. Step 3: Cross multiply
    22,665.72x = 33,989.76 × 7,668.83
  4. Step 4: Simplify right side
    22,665.72x = 260,661,540.40
  5. Step 5: Solve for x
    x = 260,661,540.40/22,665.72
  6. Step 6: Final answer
    x = 11,500.25

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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.