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Finding the Fourth Proportional to 21,451.99, 32,198.10 and 11,599.03

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Solution

The fourth proportional to 21,451.99, 32,198.10 and 11,599.03 is: 17,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.99 : 32,198.10 = 11,599.03 : x
  2. Step 2: Convert to fraction form
    21,451.99/32,198.10 = 11,599.03/x
  3. Step 3: Cross multiply
    21,451.99x = 32,198.10 × 11,599.03
  4. Step 4: Simplify right side
    21,451.99x = 373,466,727.84
  5. Step 5: Solve for x
    x = 373,466,727.84/21,451.99
  6. Step 6: Final answer
    x = 17,409.42

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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.