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Finding the Fourth Proportional to 10,842.12, 16,249.48 and 9,238.32

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Solution

The fourth proportional to 10,842.12, 16,249.48 and 9,238.32 is: 13,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.12 : 16,249.48 = 9,238.32 : x
  2. Step 2: Convert to fraction form
    10,842.12/16,249.48 = 9,238.32/x
  3. Step 3: Cross multiply
    10,842.12x = 16,249.48 × 9,238.32
  4. Step 4: Simplify right side
    10,842.12x = 150,117,872.98
  5. Step 5: Solve for x
    x = 150,117,872.98/10,842.12
  6. Step 6: Final answer
    x = 13,845.80

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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.