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Finding the Fourth Proportional to 16,249.24, 24,368.86 and 8,453.80

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Solution

The fourth proportional to 16,249.24, 24,368.86 and 8,453.80 is: 12,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.24 : 24,368.86 = 8,453.80 : x
  2. Step 2: Convert to fraction form
    16,249.24/24,368.86 = 8,453.80/x
  3. Step 3: Cross multiply
    16,249.24x = 24,368.86 × 8,453.80
  4. Step 4: Simplify right side
    16,249.24x = 206,009,468.67
  5. Step 5: Solve for x
    x = 206,009,468.67/16,249.24
  6. Step 6: Final answer
    x = 12,678.10

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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.