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Finding the Fourth Proportional to 15,329.94, 22,997.31 and 4,942.74

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Solution

The fourth proportional to 15,329.94, 22,997.31 and 4,942.74 is: 7,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,329.94 : 22,997.31 = 4,942.74 : x
  2. Step 2: Convert to fraction form
    15,329.94/22,997.31 = 4,942.74/x
  3. Step 3: Cross multiply
    15,329.94x = 22,997.31 × 4,942.74
  4. Step 4: Simplify right side
    15,329.94x = 113,669,724.03
  5. Step 5: Solve for x
    x = 113,669,724.03/15,329.94
  6. Step 6: Final answer
    x = 7,414.88

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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.