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Finding the Fourth Proportional to 20,139.80, 30,214.49 and 19,805.13

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Solution

The fourth proportional to 20,139.80, 30,214.49 and 19,805.13 is: 29,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.80 : 30,214.49 = 19,805.13 : x
  2. Step 2: Convert to fraction form
    20,139.80/30,214.49 = 19,805.13/x
  3. Step 3: Cross multiply
    20,139.80x = 30,214.49 × 19,805.13
  4. Step 4: Simplify right side
    20,139.80x = 598,401,803.31
  5. Step 5: Solve for x
    x = 598,401,803.31/20,139.80
  6. Step 6: Final answer
    x = 29,712.41

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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.