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Finding the Fourth Proportional to 17,771, 24,523.98 and 10,319

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Solution

The fourth proportional to 17,771, 24,523.98 and 10,319 is: 14,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771 : 24,523.98 = 10,319 : x
  2. Step 2: Convert to fraction form
    17,771/24,523.98 = 10,319/x
  3. Step 3: Cross multiply
    17,771x = 24,523.98 × 10,319
  4. Step 4: Simplify right side
    17,771x = 253,062,949.62
  5. Step 5: Solve for x
    x = 253,062,949.62/17,771
  6. Step 6: Final answer
    x = 14,240.22

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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.