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Finding the Fourth Proportional to 27,633.60, 41,456.76 and 7,912.32

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Solution

The fourth proportional to 27,633.60, 41,456.76 and 7,912.32 is: 11,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.60 : 41,456.76 = 7,912.32 : x
  2. Step 2: Convert to fraction form
    27,633.60/41,456.76 = 7,912.32/x
  3. Step 3: Cross multiply
    27,633.60x = 41,456.76 × 7,912.32
  4. Step 4: Simplify right side
    27,633.60x = 328,019,151.28
  5. Step 5: Solve for x
    x = 328,019,151.28/27,633.60
  6. Step 6: Final answer
    x = 11,870.30

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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.