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Finding the Fourth Proportional to 16,114.87, 24,209.36 and 11,446.23

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Solution

The fourth proportional to 16,114.87, 24,209.36 and 11,446.23 is: 17,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.87 : 24,209.36 = 11,446.23 : x
  2. Step 2: Convert to fraction form
    16,114.87/24,209.36 = 11,446.23/x
  3. Step 3: Cross multiply
    16,114.87x = 24,209.36 × 11,446.23
  4. Step 4: Simplify right side
    16,114.87x = 277,105,902.71
  5. Step 5: Solve for x
    x = 277,105,902.71/16,114.87
  6. Step 6: Final answer
    x = 17,195.66

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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.