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Finding the Fourth Proportional to 13,193.96, 19,793.10 and 6,266.12

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Solution

The fourth proportional to 13,193.96, 19,793.10 and 6,266.12 is: 9,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.96 : 19,793.10 = 6,266.12 : x
  2. Step 2: Convert to fraction form
    13,193.96/19,793.10 = 6,266.12/x
  3. Step 3: Cross multiply
    13,193.96x = 19,793.10 × 6,266.12
  4. Step 4: Simplify right side
    13,193.96x = 124,025,939.77
  5. Step 5: Solve for x
    x = 124,025,939.77/13,193.96
  6. Step 6: Final answer
    x = 9,400.21

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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.