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Finding the Fourth Proportional to 22,107.34, 33,142.11 and 9,617.77

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Solution

The fourth proportional to 22,107.34, 33,142.11 and 9,617.77 is: 14,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.34 : 33,142.11 = 9,617.77 : x
  2. Step 2: Convert to fraction form
    22,107.34/33,142.11 = 9,617.77/x
  3. Step 3: Cross multiply
    22,107.34x = 33,142.11 × 9,617.77
  4. Step 4: Simplify right side
    22,107.34x = 318,753,191.29
  5. Step 5: Solve for x
    x = 318,753,191.29/22,107.34
  6. Step 6: Final answer
    x = 14,418.43

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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.