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Finding the Fourth Proportional to 16,135.85, 22,246.38 and 11,660.67

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Solution

The fourth proportional to 16,135.85, 22,246.38 and 11,660.67 is: 16,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.85 : 22,246.38 = 11,660.67 : x
  2. Step 2: Convert to fraction form
    16,135.85/22,246.38 = 11,660.67/x
  3. Step 3: Cross multiply
    16,135.85x = 22,246.38 × 11,660.67
  4. Step 4: Simplify right side
    16,135.85x = 259,407,695.87
  5. Step 5: Solve for x
    x = 259,407,695.87/16,135.85
  6. Step 6: Final answer
    x = 16,076.48

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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.