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Finding the Fourth Proportional to 16,780.40, 23,156.96 and 9,226.85

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Solution

The fourth proportional to 16,780.40, 23,156.96 and 9,226.85 is: 12,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.40 : 23,156.96 = 9,226.85 : x
  2. Step 2: Convert to fraction form
    16,780.40/23,156.96 = 9,226.85/x
  3. Step 3: Cross multiply
    16,780.40x = 23,156.96 × 9,226.85
  4. Step 4: Simplify right side
    16,780.40x = 213,665,796.38
  5. Step 5: Solve for x
    x = 213,665,796.38/16,780.40
  6. Step 6: Final answer
    x = 12,733.06

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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.