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Finding the Fourth Proportional to 22,556.90, 33,828.78 and 6,761.30

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Solution

The fourth proportional to 22,556.90, 33,828.78 and 6,761.30 is: 10,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.90 : 33,828.78 = 6,761.30 : x
  2. Step 2: Convert to fraction form
    22,556.90/33,828.78 = 6,761.30/x
  3. Step 3: Cross multiply
    22,556.90x = 33,828.78 × 6,761.30
  4. Step 4: Simplify right side
    22,556.90x = 228,726,530.21
  5. Step 5: Solve for x
    x = 228,726,530.21/22,556.90
  6. Step 6: Final answer
    x = 10,139.98

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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.