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Finding the Fourth Proportional to 22,633.08, 33,942.42 and 9,483

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Solution

The fourth proportional to 22,633.08, 33,942.42 and 9,483 is: 14,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.08 : 33,942.42 = 9,483 : x
  2. Step 2: Convert to fraction form
    22,633.08/33,942.42 = 9,483/x
  3. Step 3: Cross multiply
    22,633.08x = 33,942.42 × 9,483
  4. Step 4: Simplify right side
    22,633.08x = 321,875,968.86
  5. Step 5: Solve for x
    x = 321,875,968.86/22,633.08
  6. Step 6: Final answer
    x = 14,221.48

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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.