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Finding the Fourth Proportional to 13,198.96, 19,798.62 and 5,402.80

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Solution

The fourth proportional to 13,198.96, 19,798.62 and 5,402.80 is: 8,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.96 : 19,798.62 = 5,402.80 : x
  2. Step 2: Convert to fraction form
    13,198.96/19,798.62 = 5,402.80/x
  3. Step 3: Cross multiply
    13,198.96x = 19,798.62 × 5,402.80
  4. Step 4: Simplify right side
    13,198.96x = 106,967,984.14
  5. Step 5: Solve for x
    x = 106,967,984.14/13,198.96
  6. Step 6: Final answer
    x = 8,104.27

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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.