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Finding the Fourth Proportional to 13,118.25, 18,102.97 and 7,149.96

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Solution

The fourth proportional to 13,118.25, 18,102.97 and 7,149.96 is: 9,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.25 : 18,102.97 = 7,149.96 : x
  2. Step 2: Convert to fraction form
    13,118.25/18,102.97 = 7,149.96/x
  3. Step 3: Cross multiply
    13,118.25x = 18,102.97 × 7,149.96
  4. Step 4: Simplify right side
    13,118.25x = 129,435,588.20
  5. Step 5: Solve for x
    x = 129,435,588.20/13,118.25
  6. Step 6: Final answer
    x = 9,866.84

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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.