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Finding the Fourth Proportional to 16,348.77, 22,561.74 and 8,896.77

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Solution

The fourth proportional to 16,348.77, 22,561.74 and 8,896.77 is: 12,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.77 : 22,561.74 = 8,896.77 : x
  2. Step 2: Convert to fraction form
    16,348.77/22,561.74 = 8,896.77/x
  3. Step 3: Cross multiply
    16,348.77x = 22,561.74 × 8,896.77
  4. Step 4: Simplify right side
    16,348.77x = 200,726,611.58
  5. Step 5: Solve for x
    x = 200,726,611.58/16,348.77
  6. Step 6: Final answer
    x = 12,277.78

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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.