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Finding the Fourth Proportional to 20,529.54, 30,765.99 and 9,408.58

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Solution

The fourth proportional to 20,529.54, 30,765.99 and 9,408.58 is: 14,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.54 : 30,765.99 = 9,408.58 : x
  2. Step 2: Convert to fraction form
    20,529.54/30,765.99 = 9,408.58/x
  3. Step 3: Cross multiply
    20,529.54x = 30,765.99 × 9,408.58
  4. Step 4: Simplify right side
    20,529.54x = 289,464,278.19
  5. Step 5: Solve for x
    x = 289,464,278.19/20,529.54
  6. Step 6: Final answer
    x = 14,099.89

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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.