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Finding the Fourth Proportional to 22,091.92, 30,489 and 16,493.20

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Solution

The fourth proportional to 22,091.92, 30,489 and 16,493.20 is: 22,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,091.92 : 30,489 = 16,493.20 : x
  2. Step 2: Convert to fraction form
    22,091.92/30,489 = 16,493.20/x
  3. Step 3: Cross multiply
    22,091.92x = 30,489 × 16,493.20
  4. Step 4: Simplify right side
    22,091.92x = 502,861,174.80
  5. Step 5: Solve for x
    x = 502,861,174.80/22,091.92
  6. Step 6: Final answer
    x = 22,762.22

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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.