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Finding the Fourth Proportional to 22,664.75, 33,962.49 and 9,509.94

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Solution

The fourth proportional to 22,664.75, 33,962.49 and 9,509.94 is: 14,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.75 : 33,962.49 = 9,509.94 : x
  2. Step 2: Convert to fraction form
    22,664.75/33,962.49 = 9,509.94/x
  3. Step 3: Cross multiply
    22,664.75x = 33,962.49 × 9,509.94
  4. Step 4: Simplify right side
    22,664.75x = 322,981,242.15
  5. Step 5: Solve for x
    x = 322,981,242.15/22,664.75
  6. Step 6: Final answer
    x = 14,250.38

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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.