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Finding the Fourth Proportional to 16,484.22, 22,748.09 and 8,930.38

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Solution

The fourth proportional to 16,484.22, 22,748.09 and 8,930.38 is: 12,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.22 : 22,748.09 = 8,930.38 : x
  2. Step 2: Convert to fraction form
    16,484.22/22,748.09 = 8,930.38/x
  3. Step 3: Cross multiply
    16,484.22x = 22,748.09 × 8,930.38
  4. Step 4: Simplify right side
    16,484.22x = 203,149,087.97
  5. Step 5: Solve for x
    x = 203,149,087.97/16,484.22
  6. Step 6: Final answer
    x = 12,323.85

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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.