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Finding the Fourth Proportional to 20,648.46, 30,968.91 and 9,401.14

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Solution

The fourth proportional to 20,648.46, 30,968.91 and 9,401.14 is: 14,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.46 : 30,968.91 = 9,401.14 : x
  2. Step 2: Convert to fraction form
    20,648.46/30,968.91 = 9,401.14/x
  3. Step 3: Cross multiply
    20,648.46x = 30,968.91 × 9,401.14
  4. Step 4: Simplify right side
    20,648.46x = 291,143,097.27
  5. Step 5: Solve for x
    x = 291,143,097.27/20,648.46
  6. Step 6: Final answer
    x = 14,099.99

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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.