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Finding the Fourth Proportional to 23,697.97, 32,700.41 and 13,086.97

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Solution

The fourth proportional to 23,697.97, 32,700.41 and 13,086.97 is: 18,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.97 : 32,700.41 = 13,086.97 : x
  2. Step 2: Convert to fraction form
    23,697.97/32,700.41 = 13,086.97/x
  3. Step 3: Cross multiply
    23,697.97x = 32,700.41 × 13,086.97
  4. Step 4: Simplify right side
    23,697.97x = 427,949,186.55
  5. Step 5: Solve for x
    x = 427,949,186.55/23,697.97
  6. Step 6: Final answer
    x = 18,058.48

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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.