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Finding the Fourth Proportional to 27,771.85, 41,661.24 and 9,053.77

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Solution

The fourth proportional to 27,771.85, 41,661.24 and 9,053.77 is: 13,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.85 : 41,661.24 = 9,053.77 : x
  2. Step 2: Convert to fraction form
    27,771.85/41,661.24 = 9,053.77/x
  3. Step 3: Cross multiply
    27,771.85x = 41,661.24 × 9,053.77
  4. Step 4: Simplify right side
    27,771.85x = 377,191,284.87
  5. Step 5: Solve for x
    x = 377,191,284.87/27,771.85
  6. Step 6: Final answer
    x = 13,581.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.