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Finding the Fourth Proportional to 22,364.42, 33,550.68 and 9,209.62

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Solution

The fourth proportional to 22,364.42, 33,550.68 and 9,209.62 is: 13,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.42 : 33,550.68 = 9,209.62 : x
  2. Step 2: Convert to fraction form
    22,364.42/33,550.68 = 9,209.62/x
  3. Step 3: Cross multiply
    22,364.42x = 33,550.68 × 9,209.62
  4. Step 4: Simplify right side
    22,364.42x = 308,989,013.54
  5. Step 5: Solve for x
    x = 308,989,013.54/22,364.42
  6. Step 6: Final answer
    x = 13,816.10

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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.