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Finding the Fourth Proportional to 16,338.50, 24,476.50 and 11,047.54

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Solution

The fourth proportional to 16,338.50, 24,476.50 and 11,047.54 is: 16,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.50 : 24,476.50 = 11,047.54 : x
  2. Step 2: Convert to fraction form
    16,338.50/24,476.50 = 11,047.54/x
  3. Step 3: Cross multiply
    16,338.50x = 24,476.50 × 11,047.54
  4. Step 4: Simplify right side
    16,338.50x = 270,405,194.02
  5. Step 5: Solve for x
    x = 270,405,194.02/16,338.50
  6. Step 6: Final answer
    x = 16,550.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.