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Finding the Fourth Proportional to 20,442.16, 30,662.43 and 6,401.89

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Solution

The fourth proportional to 20,442.16, 30,662.43 and 6,401.89 is: 9,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.16 : 30,662.43 = 6,401.89 : x
  2. Step 2: Convert to fraction form
    20,442.16/30,662.43 = 6,401.89/x
  3. Step 3: Cross multiply
    20,442.16x = 30,662.43 × 6,401.89
  4. Step 4: Simplify right side
    20,442.16x = 196,297,503.99
  5. Step 5: Solve for x
    x = 196,297,503.99/20,442.16
  6. Step 6: Final answer
    x = 9,602.58

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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.