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Finding the Fourth Proportional to 13,196.90, 19,777.02 and 6,169.34

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Solution

The fourth proportional to 13,196.90, 19,777.02 and 6,169.34 is: 9,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.90 : 19,777.02 = 6,169.34 : x
  2. Step 2: Convert to fraction form
    13,196.90/19,777.02 = 6,169.34/x
  3. Step 3: Cross multiply
    13,196.90x = 19,777.02 × 6,169.34
  4. Step 4: Simplify right side
    13,196.90x = 122,011,160.57
  5. Step 5: Solve for x
    x = 122,011,160.57/13,196.90
  6. Step 6: Final answer
    x = 9,245.44

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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.