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Finding the Fourth Proportional to 13,067.24, 18,033 and 7,098.90

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Solution

The fourth proportional to 13,067.24, 18,033 and 7,098.90 is: 9,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.24 : 18,033 = 7,098.90 : x
  2. Step 2: Convert to fraction form
    13,067.24/18,033 = 7,098.90/x
  3. Step 3: Cross multiply
    13,067.24x = 18,033 × 7,098.90
  4. Step 4: Simplify right side
    13,067.24x = 128,014,463.70
  5. Step 5: Solve for x
    x = 128,014,463.70/13,067.24
  6. Step 6: Final answer
    x = 9,796.60

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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.