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Finding the Fourth Proportional to 16,224.22, 24,331.38 and 8,428.78

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Solution

The fourth proportional to 16,224.22, 24,331.38 and 8,428.78 is: 12,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.22 : 24,331.38 = 8,428.78 : x
  2. Step 2: Convert to fraction form
    16,224.22/24,331.38 = 8,428.78/x
  3. Step 3: Cross multiply
    16,224.22x = 24,331.38 × 8,428.78
  4. Step 4: Simplify right side
    16,224.22x = 205,083,849.12
  5. Step 5: Solve for x
    x = 205,083,849.12/16,224.22
  6. Step 6: Final answer
    x = 12,640.60

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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.