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Finding the Fourth Proportional to 13,773.09, 20,648.11 and 6,382.84

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Solution

The fourth proportional to 13,773.09, 20,648.11 and 6,382.84 is: 9,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.09 : 20,648.11 = 6,382.84 : x
  2. Step 2: Convert to fraction form
    13,773.09/20,648.11 = 6,382.84/x
  3. Step 3: Cross multiply
    13,773.09x = 20,648.11 × 6,382.84
  4. Step 4: Simplify right side
    13,773.09x = 131,793,582.43
  5. Step 5: Solve for x
    x = 131,793,582.43/13,773.09
  6. Step 6: Final answer
    x = 9,568.92

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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.