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Finding the Fourth Proportional to 23,605.97, 32,575.64 and 13,540.37

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Solution

The fourth proportional to 23,605.97, 32,575.64 and 13,540.37 is: 18,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.97 : 32,575.64 = 13,540.37 : x
  2. Step 2: Convert to fraction form
    23,605.97/32,575.64 = 13,540.37/x
  3. Step 3: Cross multiply
    23,605.97x = 32,575.64 × 13,540.37
  4. Step 4: Simplify right side
    23,605.97x = 441,085,988.01
  5. Step 5: Solve for x
    x = 441,085,988.01/23,605.97
  6. Step 6: Final answer
    x = 18,685.36

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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.