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Finding the Fourth Proportional to 23,692.74, 32,696.19 and 13,083.18

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Solution

The fourth proportional to 23,692.74, 32,696.19 and 13,083.18 is: 18,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.74 : 32,696.19 = 13,083.18 : x
  2. Step 2: Convert to fraction form
    23,692.74/32,696.19 = 13,083.18/x
  3. Step 3: Cross multiply
    23,692.74x = 32,696.19 × 13,083.18
  4. Step 4: Simplify right side
    23,692.74x = 427,770,139.08
  5. Step 5: Solve for x
    x = 427,770,139.08/23,692.74
  6. Step 6: Final answer
    x = 18,054.90

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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.