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Finding the Fourth Proportional to 13,181.64, 18,190.35 and 7,213.29

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Solution

The fourth proportional to 13,181.64, 18,190.35 and 7,213.29 is: 9,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.64 : 18,190.35 = 7,213.29 : x
  2. Step 2: Convert to fraction form
    13,181.64/18,190.35 = 7,213.29/x
  3. Step 3: Cross multiply
    13,181.64x = 18,190.35 × 7,213.29
  4. Step 4: Simplify right side
    13,181.64x = 131,212,269.75
  5. Step 5: Solve for x
    x = 131,212,269.75/13,181.64
  6. Step 6: Final answer
    x = 9,954.17

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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.