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Finding the Fourth Proportional to 22,665.14, 33,988.98 and 8,617.80

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Solution

The fourth proportional to 22,665.14, 33,988.98 and 8,617.80 is: 12,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.14 : 33,988.98 = 8,617.80 : x
  2. Step 2: Convert to fraction form
    22,665.14/33,988.98 = 8,617.80/x
  3. Step 3: Cross multiply
    22,665.14x = 33,988.98 × 8,617.80
  4. Step 4: Simplify right side
    22,665.14x = 292,910,231.84
  5. Step 5: Solve for x
    x = 292,910,231.84/22,665.14
  6. Step 6: Final answer
    x = 12,923.38

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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.