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Finding the Fourth Proportional to 16,294.56, 22,486.38 and 8,842.56

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Solution

The fourth proportional to 16,294.56, 22,486.38 and 8,842.56 is: 12,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.56 : 22,486.38 = 8,842.56 : x
  2. Step 2: Convert to fraction form
    16,294.56/22,486.38 = 8,842.56/x
  3. Step 3: Cross multiply
    16,294.56x = 22,486.38 × 8,842.56
  4. Step 4: Simplify right side
    16,294.56x = 198,837,164.33
  5. Step 5: Solve for x
    x = 198,837,164.33/16,294.56
  6. Step 6: Final answer
    x = 12,202.67

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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.