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Finding the Fourth Proportional to 16,091.08, 22,205.07 and 8,823.14

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Solution

The fourth proportional to 16,091.08, 22,205.07 and 8,823.14 is: 12,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.08 : 22,205.07 = 8,823.14 : x
  2. Step 2: Convert to fraction form
    16,091.08/22,205.07 = 8,823.14/x
  3. Step 3: Cross multiply
    16,091.08x = 22,205.07 × 8,823.14
  4. Step 4: Simplify right side
    16,091.08x = 195,918,482.01
  5. Step 5: Solve for x
    x = 195,918,482.01/16,091.08
  6. Step 6: Final answer
    x = 12,175.60

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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.