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Finding the Fourth Proportional to 22,537.71, 33,804.54 and 5,897.88

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Solution

The fourth proportional to 22,537.71, 33,804.54 and 5,897.88 is: 8,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.71 : 33,804.54 = 5,897.88 : x
  2. Step 2: Convert to fraction form
    22,537.71/33,804.54 = 5,897.88/x
  3. Step 3: Cross multiply
    22,537.71x = 33,804.54 × 5,897.88
  4. Step 4: Simplify right side
    22,537.71x = 199,375,120.38
  5. Step 5: Solve for x
    x = 199,375,120.38/22,537.71
  6. Step 6: Final answer
    x = 8,846.29

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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.