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Finding the Fourth Proportional to 16,241.82, 22,410.99 and 9,166.20

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Solution

The fourth proportional to 16,241.82, 22,410.99 and 9,166.20 is: 12,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.82 : 22,410.99 = 9,166.20 : x
  2. Step 2: Convert to fraction form
    16,241.82/22,410.99 = 9,166.20/x
  3. Step 3: Cross multiply
    16,241.82x = 22,410.99 × 9,166.20
  4. Step 4: Simplify right side
    16,241.82x = 205,423,616.54
  5. Step 5: Solve for x
    x = 205,423,616.54/16,241.82
  6. Step 6: Final answer
    x = 12,647.82

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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.