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Finding the Fourth Proportional to 20,198.14, 30,302.10 and 6,347.14

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Solution

The fourth proportional to 20,198.14, 30,302.10 and 6,347.14 is: 9,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.14 : 30,302.10 = 6,347.14 : x
  2. Step 2: Convert to fraction form
    20,198.14/30,302.10 = 6,347.14/x
  3. Step 3: Cross multiply
    20,198.14x = 30,302.10 × 6,347.14
  4. Step 4: Simplify right side
    20,198.14x = 192,331,670.99
  5. Step 5: Solve for x
    x = 192,331,670.99/20,198.14
  6. Step 6: Final answer
    x = 9,522.25

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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.