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Finding the Fourth Proportional to 22,338.24, 33,513.86 and 9,004.34

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Solution

The fourth proportional to 22,338.24, 33,513.86 and 9,004.34 is: 13,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.24 : 33,513.86 = 9,004.34 : x
  2. Step 2: Convert to fraction form
    22,338.24/33,513.86 = 9,004.34/x
  3. Step 3: Cross multiply
    22,338.24x = 33,513.86 × 9,004.34
  4. Step 4: Simplify right side
    22,338.24x = 301,770,190.15
  5. Step 5: Solve for x
    x = 301,770,190.15/22,338.24
  6. Step 6: Final answer
    x = 13,509.13

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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.