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Finding the Fourth Proportional to 13,571.42, 18,735.10 and 8,538.08

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Solution

The fourth proportional to 13,571.42, 18,735.10 and 8,538.08 is: 11,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.42 : 18,735.10 = 8,538.08 : x
  2. Step 2: Convert to fraction form
    13,571.42/18,735.10 = 8,538.08/x
  3. Step 3: Cross multiply
    13,571.42x = 18,735.10 × 8,538.08
  4. Step 4: Simplify right side
    13,571.42x = 159,961,667.59
  5. Step 5: Solve for x
    x = 159,961,667.59/13,571.42
  6. Step 6: Final answer
    x = 11,786.66

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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.