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Finding the Fourth Proportional to 27,503.20, 41,242.48 and 7,777.12

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Solution

The fourth proportional to 27,503.20, 41,242.48 and 7,777.12 is: 11,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503.20 : 41,242.48 = 7,777.12 : x
  2. Step 2: Convert to fraction form
    27,503.20/41,242.48 = 7,777.12/x
  3. Step 3: Cross multiply
    27,503.20x = 41,242.48 × 7,777.12
  4. Step 4: Simplify right side
    27,503.20x = 320,747,716.06
  5. Step 5: Solve for x
    x = 320,747,716.06/27,503.20
  6. Step 6: Final answer
    x = 11,662.20

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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.