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Finding the Fourth Proportional to 17,616.80, 24,311.25 and 9,659.16

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Solution

The fourth proportional to 17,616.80, 24,311.25 and 9,659.16 is: 13,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.80 : 24,311.25 = 9,659.16 : x
  2. Step 2: Convert to fraction form
    17,616.80/24,311.25 = 9,659.16/x
  3. Step 3: Cross multiply
    17,616.80x = 24,311.25 × 9,659.16
  4. Step 4: Simplify right side
    17,616.80x = 234,826,253.55
  5. Step 5: Solve for x
    x = 234,826,253.55/17,616.80
  6. Step 6: Final answer
    x = 13,329.68

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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.