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Finding the Fourth Proportional to 23,781.36, 32,815.46 and 13,713.11

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Solution

The fourth proportional to 23,781.36, 32,815.46 and 13,713.11 is: 18,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.36 : 32,815.46 = 13,713.11 : x
  2. Step 2: Convert to fraction form
    23,781.36/32,815.46 = 13,713.11/x
  3. Step 3: Cross multiply
    23,781.36x = 32,815.46 × 13,713.11
  4. Step 4: Simplify right side
    23,781.36x = 450,002,012.68
  5. Step 5: Solve for x
    x = 450,002,012.68/23,781.36
  6. Step 6: Final answer
    x = 18,922.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.