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Finding the Fourth Proportional to 17,366, 23,965.10 and 9,408.28

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Solution

The fourth proportional to 17,366, 23,965.10 and 9,408.28 is: 12,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,366 : 23,965.10 = 9,408.28 : x
  2. Step 2: Convert to fraction form
    17,366/23,965.10 = 9,408.28/x
  3. Step 3: Cross multiply
    17,366x = 23,965.10 × 9,408.28
  4. Step 4: Simplify right side
    17,366x = 225,470,371.03
  5. Step 5: Solve for x
    x = 225,470,371.03/17,366
  6. Step 6: Final answer
    x = 12,983.44

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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.