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Finding the Fourth Proportional to 21,471.68, 32,216.79 and 11,617.90

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Solution

The fourth proportional to 21,471.68, 32,216.79 and 11,617.90 is: 17,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.68 : 32,216.79 = 11,617.90 : x
  2. Step 2: Convert to fraction form
    21,471.68/32,216.79 = 11,617.90/x
  3. Step 3: Cross multiply
    21,471.68x = 32,216.79 × 11,617.90
  4. Step 4: Simplify right side
    21,471.68x = 374,291,444.54
  5. Step 5: Solve for x
    x = 374,291,444.54/21,471.68
  6. Step 6: Final answer
    x = 17,431.87

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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.