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Finding the Fourth Proportional to 27,551.44, 41,320.95 and 7,829.56

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Solution

The fourth proportional to 27,551.44, 41,320.95 and 7,829.56 is: 11,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.44 : 41,320.95 = 7,829.56 : x
  2. Step 2: Convert to fraction form
    27,551.44/41,320.95 = 7,829.56/x
  3. Step 3: Cross multiply
    27,551.44x = 41,320.95 × 7,829.56
  4. Step 4: Simplify right side
    27,551.44x = 323,524,857.28
  5. Step 5: Solve for x
    x = 323,524,857.28/27,551.44
  6. Step 6: Final answer
    x = 11,742.58

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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.