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Finding the Fourth Proportional to 27,911.72, 41,873.90 and 9,193.64

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Solution

The fourth proportional to 27,911.72, 41,873.90 and 9,193.64 is: 13,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.72 : 41,873.90 = 9,193.64 : x
  2. Step 2: Convert to fraction form
    27,911.72/41,873.90 = 9,193.64/x
  3. Step 3: Cross multiply
    27,911.72x = 41,873.90 × 9,193.64
  4. Step 4: Simplify right side
    27,911.72x = 384,973,306.66
  5. Step 5: Solve for x
    x = 384,973,306.66/27,911.72
  6. Step 6: Final answer
    x = 13,792.53

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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.