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Finding the Fourth Proportional to 15,179.62, 22,771.86 and 6,414.62

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Solution

The fourth proportional to 15,179.62, 22,771.86 and 6,414.62 is: 9,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,179.62 : 22,771.86 = 6,414.62 : x
  2. Step 2: Convert to fraction form
    15,179.62/22,771.86 = 6,414.62/x
  3. Step 3: Cross multiply
    15,179.62x = 22,771.86 × 6,414.62
  4. Step 4: Simplify right side
    15,179.62x = 146,072,828.59
  5. Step 5: Solve for x
    x = 146,072,828.59/15,179.62
  6. Step 6: Final answer
    x = 9,622.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.