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Finding the Fourth Proportional to 12,165.24, 16,797.53 and 9,520.19

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Solution

The fourth proportional to 12,165.24, 16,797.53 and 9,520.19 is: 13,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.24 : 16,797.53 = 9,520.19 : x
  2. Step 2: Convert to fraction form
    12,165.24/16,797.53 = 9,520.19/x
  3. Step 3: Cross multiply
    12,165.24x = 16,797.53 × 9,520.19
  4. Step 4: Simplify right side
    12,165.24x = 159,915,616.94
  5. Step 5: Solve for x
    x = 159,915,616.94/12,165.24
  6. Step 6: Final answer
    x = 13,145.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.