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Finding the Fourth Proportional to 22,159.80, 33,239.67 and 5,743.80

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Solution

The fourth proportional to 22,159.80, 33,239.67 and 5,743.80 is: 8,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.80 : 33,239.67 = 5,743.80 : x
  2. Step 2: Convert to fraction form
    22,159.80/33,239.67 = 5,743.80/x
  3. Step 3: Cross multiply
    22,159.80x = 33,239.67 × 5,743.80
  4. Step 4: Simplify right side
    22,159.80x = 190,922,016.55
  5. Step 5: Solve for x
    x = 190,922,016.55/22,159.80
  6. Step 6: Final answer
    x = 8,615.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.