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Finding the Fourth Proportional to 13,103.82, 18,083.25 and 7,135.51

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Solution

The fourth proportional to 13,103.82, 18,083.25 and 7,135.51 is: 9,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.82 : 18,083.25 = 7,135.51 : x
  2. Step 2: Convert to fraction form
    13,103.82/18,083.25 = 7,135.51/x
  3. Step 3: Cross multiply
    13,103.82x = 18,083.25 × 7,135.51
  4. Step 4: Simplify right side
    13,103.82x = 129,033,211.21
  5. Step 5: Solve for x
    x = 129,033,211.21/13,103.82
  6. Step 6: Final answer
    x = 9,846.99

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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.