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Finding the Fourth Proportional to 20,400.99, 30,597.96 and 5,408.21

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Solution

The fourth proportional to 20,400.99, 30,597.96 and 5,408.21 is: 8,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.99 : 30,597.96 = 5,408.21 : x
  2. Step 2: Convert to fraction form
    20,400.99/30,597.96 = 5,408.21/x
  3. Step 3: Cross multiply
    20,400.99x = 30,597.96 × 5,408.21
  4. Step 4: Simplify right side
    20,400.99x = 165,480,026.74
  5. Step 5: Solve for x
    x = 165,480,026.74/20,400.99
  6. Step 6: Final answer
    x = 8,111.37

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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.