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Finding the Fourth Proportional to 19,900.20, 29,853.90 and 8,214.60

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Solution

The fourth proportional to 19,900.20, 29,853.90 and 8,214.60 is: 12,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.20 : 29,853.90 = 8,214.60 : x
  2. Step 2: Convert to fraction form
    19,900.20/29,853.90 = 8,214.60/x
  3. Step 3: Cross multiply
    19,900.20x = 29,853.90 × 8,214.60
  4. Step 4: Simplify right side
    19,900.20x = 245,237,846.94
  5. Step 5: Solve for x
    x = 245,237,846.94/19,900.20
  6. Step 6: Final answer
    x = 12,323.39

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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.