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Finding the Fourth Proportional to 11,821.73, 16,315.14 and 8,832.38

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Solution

The fourth proportional to 11,821.73, 16,315.14 and 8,832.38 is: 12,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.73 : 16,315.14 = 8,832.38 : x
  2. Step 2: Convert to fraction form
    11,821.73/16,315.14 = 8,832.38/x
  3. Step 3: Cross multiply
    11,821.73x = 16,315.14 × 8,832.38
  4. Step 4: Simplify right side
    11,821.73x = 144,101,401.54
  5. Step 5: Solve for x
    x = 144,101,401.54/11,821.73
  6. Step 6: Final answer
    x = 12,189.54

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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.