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Finding the Fourth Proportional to 21,334.80, 32,006.33 and 8,186.15

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Solution

The fourth proportional to 21,334.80, 32,006.33 and 8,186.15 is: 12,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.80 : 32,006.33 = 8,186.15 : x
  2. Step 2: Convert to fraction form
    21,334.80/32,006.33 = 8,186.15/x
  3. Step 3: Cross multiply
    21,334.80x = 32,006.33 × 8,186.15
  4. Step 4: Simplify right side
    21,334.80x = 262,008,734.16
  5. Step 5: Solve for x
    x = 262,008,734.16/21,334.80
  6. Step 6: Final answer
    x = 12,280.81

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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.