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Finding the Fourth Proportional to 23,693.37, 32,696.69 and 13,082.97

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Solution

The fourth proportional to 23,693.37, 32,696.69 and 13,082.97 is: 18,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.37 : 32,696.69 = 13,082.97 : x
  2. Step 2: Convert to fraction form
    23,693.37/32,696.69 = 13,082.97/x
  3. Step 3: Cross multiply
    23,693.37x = 32,696.69 × 13,082.97
  4. Step 4: Simplify right side
    23,693.37x = 427,769,814.37
  5. Step 5: Solve for x
    x = 427,769,814.37/23,693.37
  6. Step 6: Final answer
    x = 18,054.41

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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.