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Finding the Fourth Proportional to 16,241.89, 24,366 and 6,245.89

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Solution

The fourth proportional to 16,241.89, 24,366 and 6,245.89 is: 9,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.89 : 24,366 = 6,245.89 : x
  2. Step 2: Convert to fraction form
    16,241.89/24,366 = 6,245.89/x
  3. Step 3: Cross multiply
    16,241.89x = 24,366 × 6,245.89
  4. Step 4: Simplify right side
    16,241.89x = 152,187,355.74
  5. Step 5: Solve for x
    x = 152,187,355.74/16,241.89
  6. Step 6: Final answer
    x = 9,370.05

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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.