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Finding the Fourth Proportional to 29,493.80, 44,224.37 and 11,706.44

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Solution

The fourth proportional to 29,493.80, 44,224.37 and 11,706.44 is: 17,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493.80 : 44,224.37 = 11,706.44 : x
  2. Step 2: Convert to fraction form
    29,493.80/44,224.37 = 11,706.44/x
  3. Step 3: Cross multiply
    29,493.80x = 44,224.37 × 11,706.44
  4. Step 4: Simplify right side
    29,493.80x = 517,709,742.09
  5. Step 5: Solve for x
    x = 517,709,742.09/29,493.80
  6. Step 6: Final answer
    x = 17,553.17

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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.