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Finding the Fourth Proportional to 20,898.68, 31,338.77 and 9,796.41

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Solution

The fourth proportional to 20,898.68, 31,338.77 and 9,796.41 is: 14,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.68 : 31,338.77 = 9,796.41 : x
  2. Step 2: Convert to fraction form
    20,898.68/31,338.77 = 9,796.41/x
  3. Step 3: Cross multiply
    20,898.68x = 31,338.77 × 9,796.41
  4. Step 4: Simplify right side
    20,898.68x = 307,007,390.83
  5. Step 5: Solve for x
    x = 307,007,390.83/20,898.68
  6. Step 6: Final answer
    x = 14,690.28

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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.