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Finding the Fourth Proportional to 22,563.56, 33,844.95 and 7,772.15

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Solution

The fourth proportional to 22,563.56, 33,844.95 and 7,772.15 is: 11,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.56 : 33,844.95 = 7,772.15 : x
  2. Step 2: Convert to fraction form
    22,563.56/33,844.95 = 7,772.15/x
  3. Step 3: Cross multiply
    22,563.56x = 33,844.95 × 7,772.15
  4. Step 4: Simplify right side
    22,563.56x = 263,047,858.92
  5. Step 5: Solve for x
    x = 263,047,858.92/22,563.56
  6. Step 6: Final answer
    x = 11,658.09

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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.