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Finding the Fourth Proportional to 13,223.50, 18,249.15 and 7,636.30

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Solution

The fourth proportional to 13,223.50, 18,249.15 and 7,636.30 is: 10,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.50 : 18,249.15 = 7,636.30 : x
  2. Step 2: Convert to fraction form
    13,223.50/18,249.15 = 7,636.30/x
  3. Step 3: Cross multiply
    13,223.50x = 18,249.15 × 7,636.30
  4. Step 4: Simplify right side
    13,223.50x = 139,355,984.15
  5. Step 5: Solve for x
    x = 139,355,984.15/13,223.50
  6. Step 6: Final answer
    x = 10,538.51

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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.