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Finding the Fourth Proportional to 14,571.50, 21,836.59 and 11,269.13

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Solution

The fourth proportional to 14,571.50, 21,836.59 and 11,269.13 is: 16,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.50 : 21,836.59 = 11,269.13 : x
  2. Step 2: Convert to fraction form
    14,571.50/21,836.59 = 11,269.13/x
  3. Step 3: Cross multiply
    14,571.50x = 21,836.59 × 11,269.13
  4. Step 4: Simplify right side
    14,571.50x = 246,079,234.11
  5. Step 5: Solve for x
    x = 246,079,234.11/14,571.50
  6. Step 6: Final answer
    x = 16,887.71

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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.