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Finding the Fourth Proportional to 13,857.15, 20,785.56 and 9,403.80

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Solution

The fourth proportional to 13,857.15, 20,785.56 and 9,403.80 is: 14,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.15 : 20,785.56 = 9,403.80 : x
  2. Step 2: Convert to fraction form
    13,857.15/20,785.56 = 9,403.80/x
  3. Step 3: Cross multiply
    13,857.15x = 20,785.56 × 9,403.80
  4. Step 4: Simplify right side
    13,857.15x = 195,463,249.13
  5. Step 5: Solve for x
    x = 195,463,249.13/13,857.15
  6. Step 6: Final answer
    x = 14,105.59

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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.