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Finding the Fourth Proportional to 20,294.88, 30,444.78 and 7,144.56

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Solution

The fourth proportional to 20,294.88, 30,444.78 and 7,144.56 is: 10,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.88 : 30,444.78 = 7,144.56 : x
  2. Step 2: Convert to fraction form
    20,294.88/30,444.78 = 7,144.56/x
  3. Step 3: Cross multiply
    20,294.88x = 30,444.78 × 7,144.56
  4. Step 4: Simplify right side
    20,294.88x = 217,514,557.40
  5. Step 5: Solve for x
    x = 217,514,557.40/20,294.88
  6. Step 6: Final answer
    x = 10,717.71

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1.5x scale

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.