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Finding the Fourth Proportional to 22,229.92, 30,674 and 16,855.36

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Solution

The fourth proportional to 22,229.92, 30,674 and 16,855.36 is: 23,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.92 : 30,674 = 16,855.36 : x
  2. Step 2: Convert to fraction form
    22,229.92/30,674 = 16,855.36/x
  3. Step 3: Cross multiply
    22,229.92x = 30,674 × 16,855.36
  4. Step 4: Simplify right side
    22,229.92x = 517,021,312.64
  5. Step 5: Solve for x
    x = 517,021,312.64/22,229.92
  6. Step 6: Final answer
    x = 23,257.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.