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Finding the Fourth Proportional to 17,616.71, 24,310.94 and 9,658.80

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Solution

The fourth proportional to 17,616.71, 24,310.94 and 9,658.80 is: 13,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.71 : 24,310.94 = 9,658.80 : x
  2. Step 2: Convert to fraction form
    17,616.71/24,310.94 = 9,658.80/x
  3. Step 3: Cross multiply
    17,616.71x = 24,310.94 × 9,658.80
  4. Step 4: Simplify right side
    17,616.71x = 234,814,458.98
  5. Step 5: Solve for x
    x = 234,814,458.98/17,616.71
  6. Step 6: Final answer
    x = 13,329.07

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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.