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Finding the Fourth Proportional to 22,186, 33,281.16 and 5,770

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Solution

The fourth proportional to 22,186, 33,281.16 and 5,770 is: 8,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186 : 33,281.16 = 5,770 : x
  2. Step 2: Convert to fraction form
    22,186/33,281.16 = 5,770/x
  3. Step 3: Cross multiply
    22,186x = 33,281.16 × 5,770
  4. Step 4: Simplify right side
    22,186x = 192,032,293.20
  5. Step 5: Solve for x
    x = 192,032,293.20/22,186
  6. Step 6: Final answer
    x = 8,655.56

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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.