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Finding the Fourth Proportional to 13,067.60, 18,033.38 and 7,099.32

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Solution

The fourth proportional to 13,067.60, 18,033.38 and 7,099.32 is: 9,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.60 : 18,033.38 = 7,099.32 : x
  2. Step 2: Convert to fraction form
    13,067.60/18,033.38 = 7,099.32/x
  3. Step 3: Cross multiply
    13,067.60x = 18,033.38 × 7,099.32
  4. Step 4: Simplify right side
    13,067.60x = 128,024,735.30
  5. Step 5: Solve for x
    x = 128,024,735.30/13,067.60
  6. Step 6: Final answer
    x = 9,797.11

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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.