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Finding the Fourth Proportional to 16,009.82, 22,092.84 and 8,936.08

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Solution

The fourth proportional to 16,009.82, 22,092.84 and 8,936.08 is: 12,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.82 : 22,092.84 = 8,936.08 : x
  2. Step 2: Convert to fraction form
    16,009.82/22,092.84 = 8,936.08/x
  3. Step 3: Cross multiply
    16,009.82x = 22,092.84 × 8,936.08
  4. Step 4: Simplify right side
    16,009.82x = 197,423,385.67
  5. Step 5: Solve for x
    x = 197,423,385.67/16,009.82
  6. Step 6: Final answer
    x = 12,331.39

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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.