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Finding the Fourth Proportional to 22,177.14, 33,266.06 and 7,385.82

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Solution

The fourth proportional to 22,177.14, 33,266.06 and 7,385.82 is: 11,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.14 : 33,266.06 = 7,385.82 : x
  2. Step 2: Convert to fraction form
    22,177.14/33,266.06 = 7,385.82/x
  3. Step 3: Cross multiply
    22,177.14x = 33,266.06 × 7,385.82
  4. Step 4: Simplify right side
    22,177.14x = 245,697,131.27
  5. Step 5: Solve for x
    x = 245,697,131.27/22,177.14
  6. Step 6: Final answer
    x = 11,078.85

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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.