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Finding the Fourth Proportional to 22,185, 33,279.66 and 5,769

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Solution

The fourth proportional to 22,185, 33,279.66 and 5,769 is: 8,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185 : 33,279.66 = 5,769 : x
  2. Step 2: Convert to fraction form
    22,185/33,279.66 = 5,769/x
  3. Step 3: Cross multiply
    22,185x = 33,279.66 × 5,769
  4. Step 4: Simplify right side
    22,185x = 191,990,358.54
  5. Step 5: Solve for x
    x = 191,990,358.54/22,185
  6. Step 6: Final answer
    x = 8,654.06

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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.