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Finding the Fourth Proportional to 23,694.39, 32,698.49 and 13,083.80

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Solution

The fourth proportional to 23,694.39, 32,698.49 and 13,083.80 is: 18,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.39 : 32,698.49 = 13,083.80 : x
  2. Step 2: Convert to fraction form
    23,694.39/32,698.49 = 13,083.80/x
  3. Step 3: Cross multiply
    23,694.39x = 32,698.49 × 13,083.80
  4. Step 4: Simplify right side
    23,694.39x = 427,820,274.55
  5. Step 5: Solve for x
    x = 427,820,274.55/23,694.39
  6. Step 6: Final answer
    x = 18,055.76

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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.