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Finding the Fourth Proportional to 13,763.39, 20,638.67 and 4,997.16

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Solution

The fourth proportional to 13,763.39, 20,638.67 and 4,997.16 is: 7,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.39 : 20,638.67 = 4,997.16 : x
  2. Step 2: Convert to fraction form
    13,763.39/20,638.67 = 4,997.16/x
  3. Step 3: Cross multiply
    13,763.39x = 20,638.67 × 4,997.16
  4. Step 4: Simplify right side
    13,763.39x = 103,134,711.19
  5. Step 5: Solve for x
    x = 103,134,711.19/13,763.39
  6. Step 6: Final answer
    x = 7,493.41

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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.