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Finding the Fourth Proportional to 13,833.57, 19,084.26 and 9,355.68

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Solution

The fourth proportional to 13,833.57, 19,084.26 and 9,355.68 is: 12,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.57 : 19,084.26 = 9,355.68 : x
  2. Step 2: Convert to fraction form
    13,833.57/19,084.26 = 9,355.68/x
  3. Step 3: Cross multiply
    13,833.57x = 19,084.26 × 9,355.68
  4. Step 4: Simplify right side
    13,833.57x = 178,546,229.60
  5. Step 5: Solve for x
    x = 178,546,229.60/13,833.57
  6. Step 6: Final answer
    x = 12,906.74

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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.