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Finding the Fourth Proportional to 20,401.49, 30,598.71 and 5,408.71

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Solution

The fourth proportional to 20,401.49, 30,598.71 and 5,408.71 is: 8,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.49 : 30,598.71 = 5,408.71 : x
  2. Step 2: Convert to fraction form
    20,401.49/30,598.71 = 5,408.71/x
  3. Step 3: Cross multiply
    20,401.49x = 30,598.71 × 5,408.71
  4. Step 4: Simplify right side
    20,401.49x = 165,499,472.27
  5. Step 5: Solve for x
    x = 165,499,472.27/20,401.49
  6. Step 6: Final answer
    x = 8,112.13

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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.