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Finding the Fourth Proportional to 27,499.14, 41,243.55 and 7,777.56

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Solution

The fourth proportional to 27,499.14, 41,243.55 and 7,777.56 is: 11,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.14 : 41,243.55 = 7,777.56 : x
  2. Step 2: Convert to fraction form
    27,499.14/41,243.55 = 7,777.56/x
  3. Step 3: Cross multiply
    27,499.14x = 41,243.55 × 7,777.56
  4. Step 4: Simplify right side
    27,499.14x = 320,774,184.74
  5. Step 5: Solve for x
    x = 320,774,184.74/27,499.14
  6. Step 6: Final answer
    x = 11,664.88

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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.