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Finding the Fourth Proportional to 27,580.91, 41,362.31 and 8,856.50

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Solution

The fourth proportional to 27,580.91, 41,362.31 and 8,856.50 is: 13,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.91 : 41,362.31 = 8,856.50 : x
  2. Step 2: Convert to fraction form
    27,580.91/41,362.31 = 8,856.50/x
  3. Step 3: Cross multiply
    27,580.91x = 41,362.31 × 8,856.50
  4. Step 4: Simplify right side
    27,580.91x = 366,325,357.64
  5. Step 5: Solve for x
    x = 366,325,357.64/27,580.91
  6. Step 6: Final answer
    x = 13,281.85

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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.