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Finding the Fourth Proportional to 13,767.25, 20,648.43 and 6,269.08

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Solution

The fourth proportional to 13,767.25, 20,648.43 and 6,269.08 is: 9,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.25 : 20,648.43 = 6,269.08 : x
  2. Step 2: Convert to fraction form
    13,767.25/20,648.43 = 6,269.08/x
  3. Step 3: Cross multiply
    13,767.25x = 20,648.43 × 6,269.08
  4. Step 4: Simplify right side
    13,767.25x = 129,446,659.54
  5. Step 5: Solve for x
    x = 129,446,659.54/13,767.25
  6. Step 6: Final answer
    x = 9,402.51

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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.