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Finding the Fourth Proportional to 13,916.97, 20,882.63 and 6,522.18

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Solution

The fourth proportional to 13,916.97, 20,882.63 and 6,522.18 is: 9,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.97 : 20,882.63 = 6,522.18 : x
  2. Step 2: Convert to fraction form
    13,916.97/20,882.63 = 6,522.18/x
  3. Step 3: Cross multiply
    13,916.97x = 20,882.63 × 6,522.18
  4. Step 4: Simplify right side
    13,916.97x = 136,200,288.04
  5. Step 5: Solve for x
    x = 136,200,288.04/13,916.97
  6. Step 6: Final answer
    x = 9,786.63

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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.