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Finding the Fourth Proportional to 14,800.31, 22,202.89 and 4,942.61

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Solution

The fourth proportional to 14,800.31, 22,202.89 and 4,942.61 is: 7,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.31 : 22,202.89 = 4,942.61 : x
  2. Step 2: Convert to fraction form
    14,800.31/22,202.89 = 4,942.61/x
  3. Step 3: Cross multiply
    14,800.31x = 22,202.89 × 4,942.61
  4. Step 4: Simplify right side
    14,800.31x = 109,740,226.14
  5. Step 5: Solve for x
    x = 109,740,226.14/14,800.31
  6. Step 6: Final answer
    x = 7,414.72

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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.