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Finding the Fourth Proportional to 13,722.50, 18,940.16 and 7,757.63

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Solution

The fourth proportional to 13,722.50, 18,940.16 and 7,757.63 is: 10,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.50 : 18,940.16 = 7,757.63 : x
  2. Step 2: Convert to fraction form
    13,722.50/18,940.16 = 7,757.63/x
  3. Step 3: Cross multiply
    13,722.50x = 18,940.16 × 7,757.63
  4. Step 4: Simplify right side
    13,722.50x = 146,930,753.42
  5. Step 5: Solve for x
    x = 146,930,753.42/13,722.50
  6. Step 6: Final answer
    x = 10,707.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.