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Finding the Fourth Proportional to 20,003.80, 29,981.70 and 13,763.80

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Solution

The fourth proportional to 20,003.80, 29,981.70 and 13,763.80 is: 20,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.80 : 29,981.70 = 13,763.80 : x
  2. Step 2: Convert to fraction form
    20,003.80/29,981.70 = 13,763.80/x
  3. Step 3: Cross multiply
    20,003.80x = 29,981.70 × 13,763.80
  4. Step 4: Simplify right side
    20,003.80x = 412,662,122.46
  5. Step 5: Solve for x
    x = 412,662,122.46/20,003.80
  6. Step 6: Final answer
    x = 20,629.19

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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.