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Finding the Fourth Proportional to 22,944.34, 34,416.56 and 8,153.23

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Solution

The fourth proportional to 22,944.34, 34,416.56 and 8,153.23 is: 12,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944.34 : 34,416.56 = 8,153.23 : x
  2. Step 2: Convert to fraction form
    22,944.34/34,416.56 = 8,153.23/x
  3. Step 3: Cross multiply
    22,944.34x = 34,416.56 × 8,153.23
  4. Step 4: Simplify right side
    22,944.34x = 280,606,129.49
  5. Step 5: Solve for x
    x = 280,606,129.49/22,944.34
  6. Step 6: Final answer
    x = 12,229.86

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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.