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Finding the Fourth Proportional to 27,772.76, 41,665.56 and 8,051.60

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Solution

The fourth proportional to 27,772.76, 41,665.56 and 8,051.60 is: 12,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.76 : 41,665.56 = 8,051.60 : x
  2. Step 2: Convert to fraction form
    27,772.76/41,665.56 = 8,051.60/x
  3. Step 3: Cross multiply
    27,772.76x = 41,665.56 × 8,051.60
  4. Step 4: Simplify right side
    27,772.76x = 335,474,422.90
  5. Step 5: Solve for x
    x = 335,474,422.90/27,772.76
  6. Step 6: Final answer
    x = 12,079.26

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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.