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Finding the Fourth Proportional to 16,142.49, 24,224.67 and 8,356.77

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Solution

The fourth proportional to 16,142.49, 24,224.67 and 8,356.77 is: 12,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.49 : 24,224.67 = 8,356.77 : x
  2. Step 2: Convert to fraction form
    16,142.49/24,224.67 = 8,356.77/x
  3. Step 3: Cross multiply
    16,142.49x = 24,224.67 × 8,356.77
  4. Step 4: Simplify right side
    16,142.49x = 202,439,995.52
  5. Step 5: Solve for x
    x = 202,439,995.52/16,142.49
  6. Step 6: Final answer
    x = 12,540.82

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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.