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Finding the Fourth Proportional to 21,409.22, 32,119.18 and 8,082.19

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Solution

The fourth proportional to 21,409.22, 32,119.18 and 8,082.19 is: 12,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.22 : 32,119.18 = 8,082.19 : x
  2. Step 2: Convert to fraction form
    21,409.22/32,119.18 = 8,082.19/x
  3. Step 3: Cross multiply
    21,409.22x = 32,119.18 × 8,082.19
  4. Step 4: Simplify right side
    21,409.22x = 259,593,290.47
  5. Step 5: Solve for x
    x = 259,593,290.47/21,409.22
  6. Step 6: Final answer
    x = 12,125.30

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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.