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Finding the Fourth Proportional to 20,565.20, 30,912.60 and 20,176.40

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Solution

The fourth proportional to 20,565.20, 30,912.60 and 20,176.40 is: 30,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.20 : 30,912.60 = 20,176.40 : x
  2. Step 2: Convert to fraction form
    20,565.20/30,912.60 = 20,176.40/x
  3. Step 3: Cross multiply
    20,565.20x = 30,912.60 × 20,176.40
  4. Step 4: Simplify right side
    20,565.20x = 623,704,982.64
  5. Step 5: Solve for x
    x = 623,704,982.64/20,565.20
  6. Step 6: Final answer
    x = 30,328.17

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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.