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Finding the Fourth Proportional to 20,475.06, 30,715.83 and 7,327.14

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Solution

The fourth proportional to 20,475.06, 30,715.83 and 7,327.14 is: 10,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.06 : 30,715.83 = 7,327.14 : x
  2. Step 2: Convert to fraction form
    20,475.06/30,715.83 = 7,327.14/x
  3. Step 3: Cross multiply
    20,475.06x = 30,715.83 × 7,327.14
  4. Step 4: Simplify right side
    20,475.06x = 225,059,186.63
  5. Step 5: Solve for x
    x = 225,059,186.63/20,475.06
  6. Step 6: Final answer
    x = 10,991.87

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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.