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Finding the Fourth Proportional to 16,635.92, 22,957.68 and 9,082.44

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Solution

The fourth proportional to 16,635.92, 22,957.68 and 9,082.44 is: 12,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.92 : 22,957.68 = 9,082.44 : x
  2. Step 2: Convert to fraction form
    16,635.92/22,957.68 = 9,082.44/x
  3. Step 3: Cross multiply
    16,635.92x = 22,957.68 × 9,082.44
  4. Step 4: Simplify right side
    16,635.92x = 208,511,751.14
  5. Step 5: Solve for x
    x = 208,511,751.14/16,635.92
  6. Step 6: Final answer
    x = 12,533.83

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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.