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Finding the Fourth Proportional to 13,165.67, 19,753.12 and 5,769.17

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Solution

The fourth proportional to 13,165.67, 19,753.12 and 5,769.17 is: 8,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.67 : 19,753.12 = 5,769.17 : x
  2. Step 2: Convert to fraction form
    13,165.67/19,753.12 = 5,769.17/x
  3. Step 3: Cross multiply
    13,165.67x = 19,753.12 × 5,769.17
  4. Step 4: Simplify right side
    13,165.67x = 113,959,107.31
  5. Step 5: Solve for x
    x = 113,959,107.31/13,165.67
  6. Step 6: Final answer
    x = 8,655.78

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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.