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Finding the Fourth Proportional to 21,113.46, 29,136.60 and 11,682

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Solution

The fourth proportional to 21,113.46, 29,136.60 and 11,682 is: 16,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.46 : 29,136.60 = 11,682 : x
  2. Step 2: Convert to fraction form
    21,113.46/29,136.60 = 11,682/x
  3. Step 3: Cross multiply
    21,113.46x = 29,136.60 × 11,682
  4. Step 4: Simplify right side
    21,113.46x = 340,373,761.20
  5. Step 5: Solve for x
    x = 340,373,761.20/21,113.46
  6. Step 6: Final answer
    x = 16,121.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.