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Finding the Fourth Proportional to 21,111.72, 31,667.34 and 8,638.44

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Solution

The fourth proportional to 21,111.72, 31,667.34 and 8,638.44 is: 12,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.72 : 31,667.34 = 8,638.44 : x
  2. Step 2: Convert to fraction form
    21,111.72/31,667.34 = 8,638.44/x
  3. Step 3: Cross multiply
    21,111.72x = 31,667.34 × 8,638.44
  4. Step 4: Simplify right side
    21,111.72x = 273,556,416.55
  5. Step 5: Solve for x
    x = 273,556,416.55/21,111.72
  6. Step 6: Final answer
    x = 12,957.56

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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.