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Finding the Fourth Proportional to 19,754.12, 29,635.84 and 5,902.76

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Solution

The fourth proportional to 19,754.12, 29,635.84 and 5,902.76 is: 8,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.12 : 29,635.84 = 5,902.76 : x
  2. Step 2: Convert to fraction form
    19,754.12/29,635.84 = 5,902.76/x
  3. Step 3: Cross multiply
    19,754.12x = 29,635.84 × 5,902.76
  4. Step 4: Simplify right side
    19,754.12x = 174,933,250.92
  5. Step 5: Solve for x
    x = 174,933,250.92/19,754.12
  6. Step 6: Final answer
    x = 8,855.53

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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.