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Finding the Fourth Proportional to 23,704.39, 32,712.29 and 13,093.80

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Solution

The fourth proportional to 23,704.39, 32,712.29 and 13,093.80 is: 18,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.39 : 32,712.29 = 13,093.80 : x
  2. Step 2: Convert to fraction form
    23,704.39/32,712.29 = 13,093.80/x
  3. Step 3: Cross multiply
    23,704.39x = 32,712.29 × 13,093.80
  4. Step 4: Simplify right side
    23,704.39x = 428,328,182.80
  5. Step 5: Solve for x
    x = 428,328,182.80/23,704.39
  6. Step 6: Final answer
    x = 18,069.57

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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.