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Finding the Fourth Proportional to 13,181.60, 18,190.63 and 7,213.32

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Solution

The fourth proportional to 13,181.60, 18,190.63 and 7,213.32 is: 9,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.60 : 18,190.63 = 7,213.32 : x
  2. Step 2: Convert to fraction form
    13,181.60/18,190.63 = 7,213.32/x
  3. Step 3: Cross multiply
    13,181.60x = 18,190.63 × 7,213.32
  4. Step 4: Simplify right side
    13,181.60x = 131,214,844.21
  5. Step 5: Solve for x
    x = 131,214,844.21/13,181.60
  6. Step 6: Final answer
    x = 9,954.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.