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Finding the Fourth Proportional to 27,773.86, 41,664.24 and 9,055.78

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Solution

The fourth proportional to 27,773.86, 41,664.24 and 9,055.78 is: 13,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.86 : 41,664.24 = 9,055.78 : x
  2. Step 2: Convert to fraction form
    27,773.86/41,664.24 = 9,055.78/x
  3. Step 3: Cross multiply
    27,773.86x = 41,664.24 × 9,055.78
  4. Step 4: Simplify right side
    27,773.86x = 377,302,191.31
  5. Step 5: Solve for x
    x = 377,302,191.31/27,773.86
  6. Step 6: Final answer
    x = 13,584.79

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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.