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Finding the Fourth Proportional to 16,205.91, 24,308.86 and 3,893.91

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Solution

The fourth proportional to 16,205.91, 24,308.86 and 3,893.91 is: 5,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.91 : 24,308.86 = 3,893.91 : x
  2. Step 2: Convert to fraction form
    16,205.91/24,308.86 = 3,893.91/x
  3. Step 3: Cross multiply
    16,205.91x = 24,308.86 × 3,893.91
  4. Step 4: Simplify right side
    16,205.91x = 94,656,419.45
  5. Step 5: Solve for x
    x = 94,656,419.45/16,205.91
  6. Step 6: Final answer
    x = 5,840.86

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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.