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Finding the Fourth Proportional to 13,533.90, 18,682.54 and 8,230.42

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Solution

The fourth proportional to 13,533.90, 18,682.54 and 8,230.42 is: 11,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.90 : 18,682.54 = 8,230.42 : x
  2. Step 2: Convert to fraction form
    13,533.90/18,682.54 = 8,230.42/x
  3. Step 3: Cross multiply
    13,533.90x = 18,682.54 × 8,230.42
  4. Step 4: Simplify right side
    13,533.90x = 153,765,150.87
  5. Step 5: Solve for x
    x = 153,765,150.87/13,533.90
  6. Step 6: Final answer
    x = 11,361.48

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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.