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Finding the Fourth Proportional to 22,362.08, 33,523.84 and 9,206.24

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Solution

The fourth proportional to 22,362.08, 33,523.84 and 9,206.24 is: 13,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.08 : 33,523.84 = 9,206.24 : x
  2. Step 2: Convert to fraction form
    22,362.08/33,523.84 = 9,206.24/x
  3. Step 3: Cross multiply
    22,362.08x = 33,523.84 × 9,206.24
  4. Step 4: Simplify right side
    22,362.08x = 308,628,516.76
  5. Step 5: Solve for x
    x = 308,628,516.76/22,362.08
  6. Step 6: Final answer
    x = 13,801.42

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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.