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Finding the Fourth Proportional to 21,786.30, 32,690.25 and 8,638.38

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Solution

The fourth proportional to 21,786.30, 32,690.25 and 8,638.38 is: 12,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.30 : 32,690.25 = 8,638.38 : x
  2. Step 2: Convert to fraction form
    21,786.30/32,690.25 = 8,638.38/x
  3. Step 3: Cross multiply
    21,786.30x = 32,690.25 × 8,638.38
  4. Step 4: Simplify right side
    21,786.30x = 282,390,801.80
  5. Step 5: Solve for x
    x = 282,390,801.80/21,786.30
  6. Step 6: Final answer
    x = 12,961.85

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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.