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Finding the Fourth Proportional to 22,529.61, 33,796.98 and 7,735.77

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Solution

The fourth proportional to 22,529.61, 33,796.98 and 7,735.77 is: 11,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.61 : 33,796.98 = 7,735.77 : x
  2. Step 2: Convert to fraction form
    22,529.61/33,796.98 = 7,735.77/x
  3. Step 3: Cross multiply
    22,529.61x = 33,796.98 × 7,735.77
  4. Step 4: Simplify right side
    22,529.61x = 261,445,663.97
  5. Step 5: Solve for x
    x = 261,445,663.97/22,529.61
  6. Step 6: Final answer
    x = 11,604.54

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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.