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Finding the Fourth Proportional to 20,670.30, 30,987.96 and 8,199.18

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Solution

The fourth proportional to 20,670.30, 30,987.96 and 8,199.18 is: 12,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.30 : 30,987.96 = 8,199.18 : x
  2. Step 2: Convert to fraction form
    20,670.30/30,987.96 = 8,199.18/x
  3. Step 3: Cross multiply
    20,670.30x = 30,987.96 × 8,199.18
  4. Step 4: Simplify right side
    20,670.30x = 254,075,861.87
  5. Step 5: Solve for x
    x = 254,075,861.87/20,670.30
  6. Step 6: Final answer
    x = 12,291.83

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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.