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Finding the Fourth Proportional to 12,383.16, 18,569.42 and 7,696.14

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Solution

The fourth proportional to 12,383.16, 18,569.42 and 7,696.14 is: 11,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.16 : 18,569.42 = 7,696.14 : x
  2. Step 2: Convert to fraction form
    12,383.16/18,569.42 = 7,696.14/x
  3. Step 3: Cross multiply
    12,383.16x = 18,569.42 × 7,696.14
  4. Step 4: Simplify right side
    12,383.16x = 142,912,856.04
  5. Step 5: Solve for x
    x = 142,912,856.04/12,383.16
  6. Step 6: Final answer
    x = 11,540.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.