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Finding the Fourth Proportional to 20,408.76, 30,609.54 and 5,614.11

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Solution

The fourth proportional to 20,408.76, 30,609.54 and 5,614.11 is: 8,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.76 : 30,609.54 = 5,614.11 : x
  2. Step 2: Convert to fraction form
    20,408.76/30,609.54 = 5,614.11/x
  3. Step 3: Cross multiply
    20,408.76x = 30,609.54 × 5,614.11
  4. Step 4: Simplify right side
    20,408.76x = 171,845,324.61
  5. Step 5: Solve for x
    x = 171,845,324.61/20,408.76
  6. Step 6: Final answer
    x = 8,420.17

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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.