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Finding the Fourth Proportional to 11,754.90, 17,737.07 and 11,299.23

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Solution

The fourth proportional to 11,754.90, 17,737.07 and 11,299.23 is: 17,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.90 : 17,737.07 = 11,299.23 : x
  2. Step 2: Convert to fraction form
    11,754.90/17,737.07 = 11,299.23/x
  3. Step 3: Cross multiply
    11,754.90x = 17,737.07 × 11,299.23
  4. Step 4: Simplify right side
    11,754.90x = 200,415,176.96
  5. Step 5: Solve for x
    x = 200,415,176.96/11,754.90
  6. Step 6: Final answer
    x = 17,049.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.