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Finding the Fourth Proportional to 13,946.40, 20,919.60 and 9,791.10

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Solution

The fourth proportional to 13,946.40, 20,919.60 and 9,791.10 is: 14,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.40 : 20,919.60 = 9,791.10 : x
  2. Step 2: Convert to fraction form
    13,946.40/20,919.60 = 9,791.10/x
  3. Step 3: Cross multiply
    13,946.40x = 20,919.60 × 9,791.10
  4. Step 4: Simplify right side
    13,946.40x = 204,825,895.56
  5. Step 5: Solve for x
    x = 204,825,895.56/13,946.40
  6. Step 6: Final answer
    x = 14,686.65

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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.