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Finding the Fourth Proportional to 27,902.60, 41,859.96 and 9,184.54

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Solution

The fourth proportional to 27,902.60, 41,859.96 and 9,184.54 is: 13,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.60 : 41,859.96 = 9,184.54 : x
  2. Step 2: Convert to fraction form
    27,902.60/41,859.96 = 9,184.54/x
  3. Step 3: Cross multiply
    27,902.60x = 41,859.96 × 9,184.54
  4. Step 4: Simplify right side
    27,902.60x = 384,464,493.91
  5. Step 5: Solve for x
    x = 384,464,493.91/27,902.60
  6. Step 6: Final answer
    x = 13,778.80

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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.