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Finding the Fourth Proportional to 16,214.22, 22,355.19 and 11,180.34

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Solution

The fourth proportional to 16,214.22, 22,355.19 and 11,180.34 is: 15,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.22 : 22,355.19 = 11,180.34 : x
  2. Step 2: Convert to fraction form
    16,214.22/22,355.19 = 11,180.34/x
  3. Step 3: Cross multiply
    16,214.22x = 22,355.19 × 11,180.34
  4. Step 4: Simplify right side
    16,214.22x = 249,938,624.96
  5. Step 5: Solve for x
    x = 249,938,624.96/16,214.22
  6. Step 6: Final answer
    x = 15,414.78

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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.