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Finding the Fourth Proportional to 17,950, 24,771 and 10,498

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Solution

The fourth proportional to 17,950, 24,771 and 10,498 is: 14,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950 : 24,771 = 10,498 : x
  2. Step 2: Convert to fraction form
    17,950/24,771 = 10,498/x
  3. Step 3: Cross multiply
    17,950x = 24,771 × 10,498
  4. Step 4: Simplify right side
    17,950x = 260,045,958
  5. Step 5: Solve for x
    x = 260,045,958/17,950
  6. Step 6: Final answer
    x = 14,487.24

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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.