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Finding the Fourth Proportional to 22,567.74, 33,851.76 and 5,927.64

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Solution

The fourth proportional to 22,567.74, 33,851.76 and 5,927.64 is: 8,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.74 : 33,851.76 = 5,927.64 : x
  2. Step 2: Convert to fraction form
    22,567.74/33,851.76 = 5,927.64/x
  3. Step 3: Cross multiply
    22,567.74x = 33,851.76 × 5,927.64
  4. Step 4: Simplify right side
    22,567.74x = 200,661,046.65
  5. Step 5: Solve for x
    x = 200,661,046.65/22,567.74
  6. Step 6: Final answer
    x = 8,891.50

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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.