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Finding the Fourth Proportional to 22,529.60, 33,794.40 and 6,735.20

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Solution

The fourth proportional to 22,529.60, 33,794.40 and 6,735.20 is: 10,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.60 : 33,794.40 = 6,735.20 : x
  2. Step 2: Convert to fraction form
    22,529.60/33,794.40 = 6,735.20/x
  3. Step 3: Cross multiply
    22,529.60x = 33,794.40 × 6,735.20
  4. Step 4: Simplify right side
    22,529.60x = 227,612,042.88
  5. Step 5: Solve for x
    x = 227,612,042.88/22,529.60
  6. Step 6: Final answer
    x = 10,102.80

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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.