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Finding the Fourth Proportional to 19,791.82, 29,684 and 9,928.46

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Solution

The fourth proportional to 19,791.82, 29,684 and 9,928.46 is: 14,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791.82 : 29,684 = 9,928.46 : x
  2. Step 2: Convert to fraction form
    19,791.82/29,684 = 9,928.46/x
  3. Step 3: Cross multiply
    19,791.82x = 29,684 × 9,928.46
  4. Step 4: Simplify right side
    19,791.82x = 294,716,406.64
  5. Step 5: Solve for x
    x = 294,716,406.64/19,791.82
  6. Step 6: Final answer
    x = 14,890.82

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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.