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Finding the Fourth Proportional to 22,588.40, 33,887.97 and 7,797.44

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Solution

The fourth proportional to 22,588.40, 33,887.97 and 7,797.44 is: 11,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.40 : 33,887.97 = 7,797.44 : x
  2. Step 2: Convert to fraction form
    22,588.40/33,887.97 = 7,797.44/x
  3. Step 3: Cross multiply
    22,588.40x = 33,887.97 × 7,797.44
  4. Step 4: Simplify right side
    22,588.40x = 264,239,497.52
  5. Step 5: Solve for x
    x = 264,239,497.52/22,588.40
  6. Step 6: Final answer
    x = 11,698.02

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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.