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Finding the Fourth Proportional to 16,294.27, 22,486.09 and 8,842.27

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Solution

The fourth proportional to 16,294.27, 22,486.09 and 8,842.27 is: 12,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.27 : 22,486.09 = 8,842.27 : x
  2. Step 2: Convert to fraction form
    16,294.27/22,486.09 = 8,842.27/x
  3. Step 3: Cross multiply
    16,294.27x = 22,486.09 × 8,842.27
  4. Step 4: Simplify right side
    16,294.27x = 198,828,000.70
  5. Step 5: Solve for x
    x = 198,828,000.70/16,294.27
  6. Step 6: Final answer
    x = 12,202.33

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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.