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Finding the Fourth Proportional to 16,446.24, 24,640.20 and 11,438.01

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Solution

The fourth proportional to 16,446.24, 24,640.20 and 11,438.01 is: 17,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.24 : 24,640.20 = 11,438.01 : x
  2. Step 2: Convert to fraction form
    16,446.24/24,640.20 = 11,438.01/x
  3. Step 3: Cross multiply
    16,446.24x = 24,640.20 × 11,438.01
  4. Step 4: Simplify right side
    16,446.24x = 281,834,854.00
  5. Step 5: Solve for x
    x = 281,834,854.00/16,446.24
  6. Step 6: Final answer
    x = 17,136.73

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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.