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Finding the Fourth Proportional to 16,213.14, 24,305.13 and 11,285.10

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Solution

The fourth proportional to 16,213.14, 24,305.13 and 11,285.10 is: 16,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.14 : 24,305.13 = 11,285.10 : x
  2. Step 2: Convert to fraction form
    16,213.14/24,305.13 = 11,285.10/x
  3. Step 3: Cross multiply
    16,213.14x = 24,305.13 × 11,285.10
  4. Step 4: Simplify right side
    16,213.14x = 274,285,822.56
  5. Step 5: Solve for x
    x = 274,285,822.56/16,213.14
  6. Step 6: Final answer
    x = 16,917.50

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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.