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Finding the Fourth Proportional to 23,696.69, 32,701.16 and 13,086.11

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Solution

The fourth proportional to 23,696.69, 32,701.16 and 13,086.11 is: 18,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.69 : 32,701.16 = 13,086.11 : x
  2. Step 2: Convert to fraction form
    23,696.69/32,701.16 = 13,086.11/x
  3. Step 3: Cross multiply
    23,696.69x = 32,701.16 × 13,086.11
  4. Step 4: Simplify right side
    23,696.69x = 427,930,846.10
  5. Step 5: Solve for x
    x = 427,930,846.10/23,696.69
  6. Step 6: Final answer
    x = 18,058.68

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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.