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Finding the Fourth Proportional to 17,616.50, 24,310.23 and 9,658.52

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Solution

The fourth proportional to 17,616.50, 24,310.23 and 9,658.52 is: 13,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.50 : 24,310.23 = 9,658.52 : x
  2. Step 2: Convert to fraction form
    17,616.50/24,310.23 = 9,658.52/x
  3. Step 3: Cross multiply
    17,616.50x = 24,310.23 × 9,658.52
  4. Step 4: Simplify right side
    17,616.50x = 234,800,842.66
  5. Step 5: Solve for x
    x = 234,800,842.66/17,616.50
  6. Step 6: Final answer
    x = 13,328.46

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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.