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Finding the Fourth Proportional to 13,916.30, 20,881.31 and 6,519.48

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Solution

The fourth proportional to 13,916.30, 20,881.31 and 6,519.48 is: 9,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.30 : 20,881.31 = 6,519.48 : x
  2. Step 2: Convert to fraction form
    13,916.30/20,881.31 = 6,519.48/x
  3. Step 3: Cross multiply
    13,916.30x = 20,881.31 × 6,519.48
  4. Step 4: Simplify right side
    13,916.30x = 136,135,282.92
  5. Step 5: Solve for x
    x = 136,135,282.92/13,916.30
  6. Step 6: Final answer
    x = 9,782.43

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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.