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Finding the Fourth Proportional to 19,219.80, 28,853.10 and 12,199.80

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Solution

The fourth proportional to 19,219.80, 28,853.10 and 12,199.80 is: 18,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.80 : 28,853.10 = 12,199.80 : x
  2. Step 2: Convert to fraction form
    19,219.80/28,853.10 = 12,199.80/x
  3. Step 3: Cross multiply
    19,219.80x = 28,853.10 × 12,199.80
  4. Step 4: Simplify right side
    19,219.80x = 352,002,049.38
  5. Step 5: Solve for x
    x = 352,002,049.38/19,219.80
  6. Step 6: Final answer
    x = 18,314.55

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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.