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Finding the Fourth Proportional to 29,963.44, 44,950.94 and 11,494

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Solution

The fourth proportional to 29,963.44, 44,950.94 and 11,494 is: 17,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963.44 : 44,950.94 = 11,494 : x
  2. Step 2: Convert to fraction form
    29,963.44/44,950.94 = 11,494/x
  3. Step 3: Cross multiply
    29,963.44x = 44,950.94 × 11,494
  4. Step 4: Simplify right side
    29,963.44x = 516,666,104.36
  5. Step 5: Solve for x
    x = 516,666,104.36/29,963.44
  6. Step 6: Final answer
    x = 17,243.22

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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.