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Finding the Fourth Proportional to 22,142.74, 33,219.72 and 7,355.80

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Solution

The fourth proportional to 22,142.74, 33,219.72 and 7,355.80 is: 11,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.74 : 33,219.72 = 7,355.80 : x
  2. Step 2: Convert to fraction form
    22,142.74/33,219.72 = 7,355.80/x
  3. Step 3: Cross multiply
    22,142.74x = 33,219.72 × 7,355.80
  4. Step 4: Simplify right side
    22,142.74x = 244,357,616.38
  5. Step 5: Solve for x
    x = 244,357,616.38/22,142.74
  6. Step 6: Final answer
    x = 11,035.56

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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.