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Finding the Fourth Proportional to 16,163.93, 22,305.95 and 8,993.77

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Solution

The fourth proportional to 16,163.93, 22,305.95 and 8,993.77 is: 12,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.93 : 22,305.95 = 8,993.77 : x
  2. Step 2: Convert to fraction form
    16,163.93/22,305.95 = 8,993.77/x
  3. Step 3: Cross multiply
    16,163.93x = 22,305.95 × 8,993.77
  4. Step 4: Simplify right side
    16,163.93x = 200,614,583.93
  5. Step 5: Solve for x
    x = 200,614,583.93/16,163.93
  6. Step 6: Final answer
    x = 12,411.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.