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Finding the Fourth Proportional to 17,616.54, 24,310.64 and 9,658.75

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Solution

The fourth proportional to 17,616.54, 24,310.64 and 9,658.75 is: 13,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.54 : 24,310.64 = 9,658.75 : x
  2. Step 2: Convert to fraction form
    17,616.54/24,310.64 = 9,658.75/x
  3. Step 3: Cross multiply
    17,616.54x = 24,310.64 × 9,658.75
  4. Step 4: Simplify right side
    17,616.54x = 234,810,272.55
  5. Step 5: Solve for x
    x = 234,810,272.55/17,616.54
  6. Step 6: Final answer
    x = 13,328.97

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1.5x scale

Why These Related Problems?

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