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Finding the Fourth Proportional to 20,199.35, 30,284.44 and 8,506.19

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Solution

The fourth proportional to 20,199.35, 30,284.44 and 8,506.19 is: 12,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.35 : 30,284.44 = 8,506.19 : x
  2. Step 2: Convert to fraction form
    20,199.35/30,284.44 = 8,506.19/x
  3. Step 3: Cross multiply
    20,199.35x = 30,284.44 × 8,506.19
  4. Step 4: Simplify right side
    20,199.35x = 257,605,200.68
  5. Step 5: Solve for x
    x = 257,605,200.68/20,199.35
  6. Step 6: Final answer
    x = 12,753.14

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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.