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Finding the Fourth Proportional to 20,632.19, 30,953.54 and 9,546.73

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Solution

The fourth proportional to 20,632.19, 30,953.54 and 9,546.73 is: 14,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.19 : 30,953.54 = 9,546.73 : x
  2. Step 2: Convert to fraction form
    20,632.19/30,953.54 = 9,546.73/x
  3. Step 3: Cross multiply
    20,632.19x = 30,953.54 × 9,546.73
  4. Step 4: Simplify right side
    20,632.19x = 295,505,035.41
  5. Step 5: Solve for x
    x = 295,505,035.41/20,632.19
  6. Step 6: Final answer
    x = 14,322.53

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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.