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Finding the Fourth Proportional to 13,832.06, 20,742.99 and 4,944.98

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Solution

The fourth proportional to 13,832.06, 20,742.99 and 4,944.98 is: 7,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.06 : 20,742.99 = 4,944.98 : x
  2. Step 2: Convert to fraction form
    13,832.06/20,742.99 = 4,944.98/x
  3. Step 3: Cross multiply
    13,832.06x = 20,742.99 × 4,944.98
  4. Step 4: Simplify right side
    13,832.06x = 102,573,722.55
  5. Step 5: Solve for x
    x = 102,573,722.55/13,832.06
  6. Step 6: Final answer
    x = 7,415.65

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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.