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Finding the Fourth Proportional to 16,249.14, 24,373.71 and 5,716.68

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Solution

The fourth proportional to 16,249.14, 24,373.71 and 5,716.68 is: 8,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.14 : 24,373.71 = 5,716.68 : x
  2. Step 2: Convert to fraction form
    16,249.14/24,373.71 = 5,716.68/x
  3. Step 3: Cross multiply
    16,249.14x = 24,373.71 × 5,716.68
  4. Step 4: Simplify right side
    16,249.14x = 139,336,700.48
  5. Step 5: Solve for x
    x = 139,336,700.48/16,249.14
  6. Step 6: Final answer
    x = 8,575.02

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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.