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Finding the Fourth Proportional to 16,091.45, 22,205.88 and 8,823.45

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Solution

The fourth proportional to 16,091.45, 22,205.88 and 8,823.45 is: 12,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.45 : 22,205.88 = 8,823.45 : x
  2. Step 2: Convert to fraction form
    16,091.45/22,205.88 = 8,823.45/x
  3. Step 3: Cross multiply
    16,091.45x = 22,205.88 × 8,823.45
  4. Step 4: Simplify right side
    16,091.45x = 195,932,471.89
  5. Step 5: Solve for x
    x = 195,932,471.89/16,091.45
  6. Step 6: Final answer
    x = 12,176.18

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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.