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Finding the Fourth Proportional to 20,892.28, 31,349.76 and 13,855

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Solution

The fourth proportional to 20,892.28, 31,349.76 and 13,855 is: 20,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.28 : 31,349.76 = 13,855 : x
  2. Step 2: Convert to fraction form
    20,892.28/31,349.76 = 13,855/x
  3. Step 3: Cross multiply
    20,892.28x = 31,349.76 × 13,855
  4. Step 4: Simplify right side
    20,892.28x = 434,350,924.80
  5. Step 5: Solve for x
    x = 434,350,924.80/20,892.28
  6. Step 6: Final answer
    x = 20,790.02

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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.