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Finding the Fourth Proportional to 22,616.29, 33,924.52 and 9,459.43

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Solution

The fourth proportional to 22,616.29, 33,924.52 and 9,459.43 is: 14,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.29 : 33,924.52 = 9,459.43 : x
  2. Step 2: Convert to fraction form
    22,616.29/33,924.52 = 9,459.43/x
  3. Step 3: Cross multiply
    22,616.29x = 33,924.52 × 9,459.43
  4. Step 4: Simplify right side
    22,616.29x = 320,906,405.30
  5. Step 5: Solve for x
    x = 320,906,405.30/22,616.29
  6. Step 6: Final answer
    x = 14,189.17

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1.5x scale

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.