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Finding the Fourth Proportional to 20,294.90, 30,445.38 and 7,144.95

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Solution

The fourth proportional to 20,294.90, 30,445.38 and 7,144.95 is: 10,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.90 : 30,445.38 = 7,144.95 : x
  2. Step 2: Convert to fraction form
    20,294.90/30,445.38 = 7,144.95/x
  3. Step 3: Cross multiply
    20,294.90x = 30,445.38 × 7,144.95
  4. Step 4: Simplify right side
    20,294.90x = 217,530,717.83
  5. Step 5: Solve for x
    x = 217,530,717.83/20,294.90
  6. Step 6: Final answer
    x = 10,718.49

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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.