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Finding the Fourth Proportional to 22,313.14, 33,469.67 and 9,156.24

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Solution

The fourth proportional to 22,313.14, 33,469.67 and 9,156.24 is: 13,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.14 : 33,469.67 = 9,156.24 : x
  2. Step 2: Convert to fraction form
    22,313.14/33,469.67 = 9,156.24/x
  3. Step 3: Cross multiply
    22,313.14x = 33,469.67 × 9,156.24
  4. Step 4: Simplify right side
    22,313.14x = 306,456,354.13
  5. Step 5: Solve for x
    x = 306,456,354.13/22,313.14
  6. Step 6: Final answer
    x = 13,734.35

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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.