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Finding the Fourth Proportional to 22,734.43, 34,101.07 and 6,094.44

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Solution

The fourth proportional to 22,734.43, 34,101.07 and 6,094.44 is: 9,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.43 : 34,101.07 = 6,094.44 : x
  2. Step 2: Convert to fraction form
    22,734.43/34,101.07 = 6,094.44/x
  3. Step 3: Cross multiply
    22,734.43x = 34,101.07 × 6,094.44
  4. Step 4: Simplify right side
    22,734.43x = 207,826,925.05
  5. Step 5: Solve for x
    x = 207,826,925.05/22,734.43
  6. Step 6: Final answer
    x = 9,141.51

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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.