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Finding the Fourth Proportional to 17,616.57, 24,310.65 and 9,658.79

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Solution

The fourth proportional to 17,616.57, 24,310.65 and 9,658.79 is: 13,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.57 : 24,310.65 = 9,658.79 : x
  2. Step 2: Convert to fraction form
    17,616.57/24,310.65 = 9,658.79/x
  3. Step 3: Cross multiply
    17,616.57x = 24,310.65 × 9,658.79
  4. Step 4: Simplify right side
    17,616.57x = 234,811,463.11
  5. Step 5: Solve for x
    x = 234,811,463.11/17,616.57
  6. Step 6: Final answer
    x = 13,329.01

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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.