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Finding the Fourth Proportional to 27,577.14, 41,366.22 and 7,856.22

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Solution

The fourth proportional to 27,577.14, 41,366.22 and 7,856.22 is: 11,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.14 : 41,366.22 = 7,856.22 : x
  2. Step 2: Convert to fraction form
    27,577.14/41,366.22 = 7,856.22/x
  3. Step 3: Cross multiply
    27,577.14x = 41,366.22 × 7,856.22
  4. Step 4: Simplify right side
    27,577.14x = 324,982,124.89
  5. Step 5: Solve for x
    x = 324,982,124.89/27,577.14
  6. Step 6: Final answer
    x = 11,784.48

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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.