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Finding the Fourth Proportional to 27,226.92, 40,842.66 and 7,505.46

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Solution

The fourth proportional to 27,226.92, 40,842.66 and 7,505.46 is: 11,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.92 : 40,842.66 = 7,505.46 : x
  2. Step 2: Convert to fraction form
    27,226.92/40,842.66 = 7,505.46/x
  3. Step 3: Cross multiply
    27,226.92x = 40,842.66 × 7,505.46
  4. Step 4: Simplify right side
    27,226.92x = 306,542,950.92
  5. Step 5: Solve for x
    x = 306,542,950.92/27,226.92
  6. Step 6: Final answer
    x = 11,258.82

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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.