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Finding the Fourth Proportional to 20,199.14, 30,303.60 and 6,348.14

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Solution

The fourth proportional to 20,199.14, 30,303.60 and 6,348.14 is: 9,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.14 : 30,303.60 = 6,348.14 : x
  2. Step 2: Convert to fraction form
    20,199.14/30,303.60 = 6,348.14/x
  3. Step 3: Cross multiply
    20,199.14x = 30,303.60 × 6,348.14
  4. Step 4: Simplify right side
    20,199.14x = 192,371,495.30
  5. Step 5: Solve for x
    x = 192,371,495.30/20,199.14
  6. Step 6: Final answer
    x = 9,523.75

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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.