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Finding the Fourth Proportional to 13,893.89, 19,164.34 and 9,917.24

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Solution

The fourth proportional to 13,893.89, 19,164.34 and 9,917.24 is: 13,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.89 : 19,164.34 = 9,917.24 : x
  2. Step 2: Convert to fraction form
    13,893.89/19,164.34 = 9,917.24/x
  3. Step 3: Cross multiply
    13,893.89x = 19,164.34 × 9,917.24
  4. Step 4: Simplify right side
    13,893.89x = 190,057,382.34
  5. Step 5: Solve for x
    x = 190,057,382.34/13,893.89
  6. Step 6: Final answer
    x = 13,679.20

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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.