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Finding the Fourth Proportional to 21,766.34, 32,649.51 and 6,181.94

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Solution

The fourth proportional to 21,766.34, 32,649.51 and 6,181.94 is: 9,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.34 : 32,649.51 = 6,181.94 : x
  2. Step 2: Convert to fraction form
    21,766.34/32,649.51 = 6,181.94/x
  3. Step 3: Cross multiply
    21,766.34x = 32,649.51 × 6,181.94
  4. Step 4: Simplify right side
    21,766.34x = 201,837,311.85
  5. Step 5: Solve for x
    x = 201,837,311.85/21,766.34
  6. Step 6: Final answer
    x = 9,272.91

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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.