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Finding the Fourth Proportional to 20,322.46, 30,477.49 and 7,171.76

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Solution

The fourth proportional to 20,322.46, 30,477.49 and 7,171.76 is: 10,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.46 : 30,477.49 = 7,171.76 : x
  2. Step 2: Convert to fraction form
    20,322.46/30,477.49 = 7,171.76/x
  3. Step 3: Cross multiply
    20,322.46x = 30,477.49 × 7,171.76
  4. Step 4: Simplify right side
    20,322.46x = 218,577,243.68
  5. Step 5: Solve for x
    x = 218,577,243.68/20,322.46
  6. Step 6: Final answer
    x = 10,755.45

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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.