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Finding the Fourth Proportional to 16,249.82, 24,363.67 and 7,811.87

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Solution

The fourth proportional to 16,249.82, 24,363.67 and 7,811.87 is: 11,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.82 : 24,363.67 = 7,811.87 : x
  2. Step 2: Convert to fraction form
    16,249.82/24,363.67 = 7,811.87/x
  3. Step 3: Cross multiply
    16,249.82x = 24,363.67 × 7,811.87
  4. Step 4: Simplify right side
    16,249.82x = 190,325,822.76
  5. Step 5: Solve for x
    x = 190,325,822.76/16,249.82
  6. Step 6: Final answer
    x = 11,712.49

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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.