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Finding the Fourth Proportional to 17,446, 26,168.92 and 9,671.28

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Solution

The fourth proportional to 17,446, 26,168.92 and 9,671.28 is: 14,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446 : 26,168.92 = 9,671.28 : x
  2. Step 2: Convert to fraction form
    17,446/26,168.92 = 9,671.28/x
  3. Step 3: Cross multiply
    17,446x = 26,168.92 × 9,671.28
  4. Step 4: Simplify right side
    17,446x = 253,086,952.62
  5. Step 5: Solve for x
    x = 253,086,952.62/17,446
  6. Step 6: Final answer
    x = 14,506.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.