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Finding the Fourth Proportional to 20,500.98, 30,727.58 and 9,408.84

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Solution

The fourth proportional to 20,500.98, 30,727.58 and 9,408.84 is: 14,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.98 : 30,727.58 = 9,408.84 : x
  2. Step 2: Convert to fraction form
    20,500.98/30,727.58 = 9,408.84/x
  3. Step 3: Cross multiply
    20,500.98x = 30,727.58 × 9,408.84
  4. Step 4: Simplify right side
    20,500.98x = 289,110,836.76
  5. Step 5: Solve for x
    x = 289,110,836.76/20,500.98
  6. Step 6: Final answer
    x = 14,102.29

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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.