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Finding the Fourth Proportional to 20,723.20, 31,084.80 and 18,476.80

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Solution

The fourth proportional to 20,723.20, 31,084.80 and 18,476.80 is: 27,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.20 : 31,084.80 = 18,476.80 : x
  2. Step 2: Convert to fraction form
    20,723.20/31,084.80 = 18,476.80/x
  3. Step 3: Cross multiply
    20,723.20x = 31,084.80 × 18,476.80
  4. Step 4: Simplify right side
    20,723.20x = 574,347,632.64
  5. Step 5: Solve for x
    x = 574,347,632.64/20,723.20
  6. Step 6: Final answer
    x = 27,715.20

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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.