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Finding the Fourth Proportional to 16,217.60, 22,367.32 and 11,180.67

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Solution

The fourth proportional to 16,217.60, 22,367.32 and 11,180.67 is: 15,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.60 : 22,367.32 = 11,180.67 : x
  2. Step 2: Convert to fraction form
    16,217.60/22,367.32 = 11,180.67/x
  3. Step 3: Cross multiply
    16,217.60x = 22,367.32 × 11,180.67
  4. Step 4: Simplify right side
    16,217.60x = 250,081,511.88
  5. Step 5: Solve for x
    x = 250,081,511.88/16,217.60
  6. Step 6: Final answer
    x = 15,420.38

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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.