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Finding the Fourth Proportional to 15,235.54, 22,834.32 and 8,198.08

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Solution

The fourth proportional to 15,235.54, 22,834.32 and 8,198.08 is: 12,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.54 : 22,834.32 = 8,198.08 : x
  2. Step 2: Convert to fraction form
    15,235.54/22,834.32 = 8,198.08/x
  3. Step 3: Cross multiply
    15,235.54x = 22,834.32 × 8,198.08
  4. Step 4: Simplify right side
    15,235.54x = 187,197,582.11
  5. Step 5: Solve for x
    x = 187,197,582.11/15,235.54
  6. Step 6: Final answer
    x = 12,286.90

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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.