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Finding the Fourth Proportional to 22,755.90, 34,137.75 and 6,960.54

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Solution

The fourth proportional to 22,755.90, 34,137.75 and 6,960.54 is: 10,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.90 : 34,137.75 = 6,960.54 : x
  2. Step 2: Convert to fraction form
    22,755.90/34,137.75 = 6,960.54/x
  3. Step 3: Cross multiply
    22,755.90x = 34,137.75 × 6,960.54
  4. Step 4: Simplify right side
    22,755.90x = 237,617,328.50
  5. Step 5: Solve for x
    x = 237,617,328.50/22,755.90
  6. Step 6: Final answer
    x = 10,442.01

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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.