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Finding the Fourth Proportional to 22,537.88, 33,808.78 and 5,897.84

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Solution

The fourth proportional to 22,537.88, 33,808.78 and 5,897.84 is: 8,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.88 : 33,808.78 = 5,897.84 : x
  2. Step 2: Convert to fraction form
    22,537.88/33,808.78 = 5,897.84/x
  3. Step 3: Cross multiply
    22,537.88x = 33,808.78 × 5,897.84
  4. Step 4: Simplify right side
    22,537.88x = 199,398,775.04
  5. Step 5: Solve for x
    x = 199,398,775.04/22,537.88
  6. Step 6: Final answer
    x = 8,847.27

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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.