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Finding the Fourth Proportional to 21,667.35, 32,494.38 and 9,187.14

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Solution

The fourth proportional to 21,667.35, 32,494.38 and 9,187.14 is: 13,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.35 : 32,494.38 = 9,187.14 : x
  2. Step 2: Convert to fraction form
    21,667.35/32,494.38 = 9,187.14/x
  3. Step 3: Cross multiply
    21,667.35x = 32,494.38 × 9,187.14
  4. Step 4: Simplify right side
    21,667.35x = 298,530,418.27
  5. Step 5: Solve for x
    x = 298,530,418.27/21,667.35
  6. Step 6: Final answer
    x = 13,777.89

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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.