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Finding the Fourth Proportional to 27,786.66, 41,682.54 and 9,061.90

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Solution

The fourth proportional to 27,786.66, 41,682.54 and 9,061.90 is: 13,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.66 : 41,682.54 = 9,061.90 : x
  2. Step 2: Convert to fraction form
    27,786.66/41,682.54 = 9,061.90/x
  3. Step 3: Cross multiply
    27,786.66x = 41,682.54 × 9,061.90
  4. Step 4: Simplify right side
    27,786.66x = 377,723,009.23
  5. Step 5: Solve for x
    x = 377,723,009.23/27,786.66
  6. Step 6: Final answer
    x = 13,593.68

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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.