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Finding the Fourth Proportional to 16,144.77, 24,224.34 and 8,243.11

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Solution

The fourth proportional to 16,144.77, 24,224.34 and 8,243.11 is: 12,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.77 : 24,224.34 = 8,243.11 : x
  2. Step 2: Convert to fraction form
    16,144.77/24,224.34 = 8,243.11/x
  3. Step 3: Cross multiply
    16,144.77x = 24,224.34 × 8,243.11
  4. Step 4: Simplify right side
    16,144.77x = 199,683,899.30
  5. Step 5: Solve for x
    x = 199,683,899.30/16,144.77
  6. Step 6: Final answer
    x = 12,368.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.