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Finding the Fourth Proportional to 20,327.64, 30,485.98 and 7,178.28

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Solution

The fourth proportional to 20,327.64, 30,485.98 and 7,178.28 is: 10,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327.64 : 30,485.98 = 7,178.28 : x
  2. Step 2: Convert to fraction form
    20,327.64/30,485.98 = 7,178.28/x
  3. Step 3: Cross multiply
    20,327.64x = 30,485.98 × 7,178.28
  4. Step 4: Simplify right side
    20,327.64x = 218,836,900.51
  5. Step 5: Solve for x
    x = 218,836,900.51/20,327.64
  6. Step 6: Final answer
    x = 10,765.48

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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.