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Finding the Fourth Proportional to 21,341.89, 32,014.39 and 8,194.26

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Solution

The fourth proportional to 21,341.89, 32,014.39 and 8,194.26 is: 12,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.89 : 32,014.39 = 8,194.26 : x
  2. Step 2: Convert to fraction form
    21,341.89/32,014.39 = 8,194.26/x
  3. Step 3: Cross multiply
    21,341.89x = 32,014.39 × 8,194.26
  4. Step 4: Simplify right side
    21,341.89x = 262,334,350.33
  5. Step 5: Solve for x
    x = 262,334,350.33/21,341.89
  6. Step 6: Final answer
    x = 12,291.99

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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.