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Finding the Fourth Proportional to 22,270.68, 33,391.44 and 9,109.80

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Solution

The fourth proportional to 22,270.68, 33,391.44 and 9,109.80 is: 13,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.68 : 33,391.44 = 9,109.80 : x
  2. Step 2: Convert to fraction form
    22,270.68/33,391.44 = 9,109.80/x
  3. Step 3: Cross multiply
    22,270.68x = 33,391.44 × 9,109.80
  4. Step 4: Simplify right side
    22,270.68x = 304,189,340.11
  5. Step 5: Solve for x
    x = 304,189,340.11/22,270.68
  6. Step 6: Final answer
    x = 13,658.74

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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.