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Finding the Fourth Proportional to 13,669.66, 20,504.51 and 3,809.21

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Solution

The fourth proportional to 13,669.66, 20,504.51 and 3,809.21 is: 5,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.66 : 20,504.51 = 3,809.21 : x
  2. Step 2: Convert to fraction form
    13,669.66/20,504.51 = 3,809.21/x
  3. Step 3: Cross multiply
    13,669.66x = 20,504.51 × 3,809.21
  4. Step 4: Simplify right side
    13,669.66x = 78,105,877.25
  5. Step 5: Solve for x
    x = 78,105,877.25/13,669.66
  6. Step 6: Final answer
    x = 5,713.81

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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.