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Finding the Fourth Proportional to 21,811.68, 32,727.24 and 11,421

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Solution

The fourth proportional to 21,811.68, 32,727.24 and 11,421 is: 17,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.68 : 32,727.24 = 11,421 : x
  2. Step 2: Convert to fraction form
    21,811.68/32,727.24 = 11,421/x
  3. Step 3: Cross multiply
    21,811.68x = 32,727.24 × 11,421
  4. Step 4: Simplify right side
    21,811.68x = 373,777,808.04
  5. Step 5: Solve for x
    x = 373,777,808.04/21,811.68
  6. Step 6: Final answer
    x = 17,136.59

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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.