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Finding the Fourth Proportional to 27,552.66, 41,330.07 and 7,832.94

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Solution

The fourth proportional to 27,552.66, 41,330.07 and 7,832.94 is: 11,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552.66 : 41,330.07 = 7,832.94 : x
  2. Step 2: Convert to fraction form
    27,552.66/41,330.07 = 7,832.94/x
  3. Step 3: Cross multiply
    27,552.66x = 41,330.07 × 7,832.94
  4. Step 4: Simplify right side
    27,552.66x = 323,735,958.51
  5. Step 5: Solve for x
    x = 323,735,958.51/27,552.66
  6. Step 6: Final answer
    x = 11,749.72

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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.