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Finding the Fourth Proportional to 22,166.42, 33,255.10 and 6,584.02

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Solution

The fourth proportional to 22,166.42, 33,255.10 and 6,584.02 is: 9,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.42 : 33,255.10 = 6,584.02 : x
  2. Step 2: Convert to fraction form
    22,166.42/33,255.10 = 6,584.02/x
  3. Step 3: Cross multiply
    22,166.42x = 33,255.10 × 6,584.02
  4. Step 4: Simplify right side
    22,166.42x = 218,952,243.50
  5. Step 5: Solve for x
    x = 218,952,243.50/22,166.42
  6. Step 6: Final answer
    x = 9,877.65

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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.