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Finding the Fourth Proportional to 21,546.30, 32,311.46 and 7,502.73

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Solution

The fourth proportional to 21,546.30, 32,311.46 and 7,502.73 is: 11,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.30 : 32,311.46 = 7,502.73 : x
  2. Step 2: Convert to fraction form
    21,546.30/32,311.46 = 7,502.73/x
  3. Step 3: Cross multiply
    21,546.30x = 32,311.46 × 7,502.73
  4. Step 4: Simplify right side
    21,546.30x = 242,424,015.67
  5. Step 5: Solve for x
    x = 242,424,015.67/21,546.30
  6. Step 6: Final answer
    x = 11,251.30

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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.