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Finding the Fourth Proportional to 20,318.28, 30,473.68 and 9,222.30

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Solution

The fourth proportional to 20,318.28, 30,473.68 and 9,222.30 is: 13,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,318.28 : 30,473.68 = 9,222.30 : x
  2. Step 2: Convert to fraction form
    20,318.28/30,473.68 = 9,222.30/x
  3. Step 3: Cross multiply
    20,318.28x = 30,473.68 × 9,222.30
  4. Step 4: Simplify right side
    20,318.28x = 281,037,419.06
  5. Step 5: Solve for x
    x = 281,037,419.06/20,318.28
  6. Step 6: Final answer
    x = 13,831.75

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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.