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Finding the Fourth Proportional to 13,863.94, 20,781.54 and 6,462.32

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Solution

The fourth proportional to 13,863.94, 20,781.54 and 6,462.32 is: 9,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.94 : 20,781.54 = 6,462.32 : x
  2. Step 2: Convert to fraction form
    13,863.94/20,781.54 = 6,462.32/x
  3. Step 3: Cross multiply
    13,863.94x = 20,781.54 × 6,462.32
  4. Step 4: Simplify right side
    13,863.94x = 134,296,857.67
  5. Step 5: Solve for x
    x = 134,296,857.67/13,863.94
  6. Step 6: Final answer
    x = 9,686.78

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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.