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Finding the Fourth Proportional to 27,704, 41,556.36 and 9,236

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Solution

The fourth proportional to 27,704, 41,556.36 and 9,236 is: 13,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704 : 41,556.36 = 9,236 : x
  2. Step 2: Convert to fraction form
    27,704/41,556.36 = 9,236/x
  3. Step 3: Cross multiply
    27,704x = 41,556.36 × 9,236
  4. Step 4: Simplify right side
    27,704x = 383,814,540.96
  5. Step 5: Solve for x
    x = 383,814,540.96/27,704
  6. Step 6: Final answer
    x = 13,854.12

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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.