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Finding the Fourth Proportional to 20,892.74, 31,338.71 and 5,097.88

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Solution

The fourth proportional to 20,892.74, 31,338.71 and 5,097.88 is: 7,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.74 : 31,338.71 = 5,097.88 : x
  2. Step 2: Convert to fraction form
    20,892.74/31,338.71 = 5,097.88/x
  3. Step 3: Cross multiply
    20,892.74x = 31,338.71 × 5,097.88
  4. Step 4: Simplify right side
    20,892.74x = 159,760,800.75
  5. Step 5: Solve for x
    x = 159,760,800.75/20,892.74
  6. Step 6: Final answer
    x = 7,646.71

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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.