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Finding the Fourth Proportional to 16,559.76, 24,823.02 and 8,226.96

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Solution

The fourth proportional to 16,559.76, 24,823.02 and 8,226.96 is: 12,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.76 : 24,823.02 = 8,226.96 : x
  2. Step 2: Convert to fraction form
    16,559.76/24,823.02 = 8,226.96/x
  3. Step 3: Cross multiply
    16,559.76x = 24,823.02 × 8,226.96
  4. Step 4: Simplify right side
    16,559.76x = 204,217,992.62
  5. Step 5: Solve for x
    x = 204,217,992.62/16,559.76
  6. Step 6: Final answer
    x = 12,332.18

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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.