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Finding the Fourth Proportional to 22,580.34, 33,857.15 and 9,249.36

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Solution

The fourth proportional to 22,580.34, 33,857.15 and 9,249.36 is: 13,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.34 : 33,857.15 = 9,249.36 : x
  2. Step 2: Convert to fraction form
    22,580.34/33,857.15 = 9,249.36/x
  3. Step 3: Cross multiply
    22,580.34x = 33,857.15 × 9,249.36
  4. Step 4: Simplify right side
    22,580.34x = 313,156,922.68
  5. Step 5: Solve for x
    x = 313,156,922.68/22,580.34
  6. Step 6: Final answer
    x = 13,868.57

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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.