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Finding the Fourth Proportional to 22,566.32, 33,847.32 and 7,773.20

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Solution

The fourth proportional to 22,566.32, 33,847.32 and 7,773.20 is: 11,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566.32 : 33,847.32 = 7,773.20 : x
  2. Step 2: Convert to fraction form
    22,566.32/33,847.32 = 7,773.20/x
  3. Step 3: Cross multiply
    22,566.32x = 33,847.32 × 7,773.20
  4. Step 4: Simplify right side
    22,566.32x = 263,101,987.82
  5. Step 5: Solve for x
    x = 263,101,987.82/22,566.32
  6. Step 6: Final answer
    x = 11,659.06

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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.