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Finding the Fourth Proportional to 21,477.71, 32,232.17 and 16,219.22

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Solution

The fourth proportional to 21,477.71, 32,232.17 and 16,219.22 is: 24,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.71 : 32,232.17 = 16,219.22 : x
  2. Step 2: Convert to fraction form
    21,477.71/32,232.17 = 16,219.22/x
  3. Step 3: Cross multiply
    21,477.71x = 32,232.17 × 16,219.22
  4. Step 4: Simplify right side
    21,477.71x = 522,780,414.05
  5. Step 5: Solve for x
    x = 522,780,414.05/21,477.71
  6. Step 6: Final answer
    x = 24,340.61

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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.