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Finding the Fourth Proportional to 36,906.84, 55,365.12 and 13,530.24

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Solution

The fourth proportional to 36,906.84, 55,365.12 and 13,530.24 is: 20,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.84 : 55,365.12 = 13,530.24 : x
  2. Step 2: Convert to fraction form
    36,906.84/55,365.12 = 13,530.24/x
  3. Step 3: Cross multiply
    36,906.84x = 55,365.12 × 13,530.24
  4. Step 4: Simplify right side
    36,906.84x = 749,103,361.23
  5. Step 5: Solve for x
    x = 749,103,361.23/36,906.84
  6. Step 6: Final answer
    x = 20,297.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.