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Finding the Fourth Proportional to 16,076.50, 22,161.27 and 13,826.32

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Solution

The fourth proportional to 16,076.50, 22,161.27 and 13,826.32 is: 19,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.50 : 22,161.27 = 13,826.32 : x
  2. Step 2: Convert to fraction form
    16,076.50/22,161.27 = 13,826.32/x
  3. Step 3: Cross multiply
    16,076.50x = 22,161.27 × 13,826.32
  4. Step 4: Simplify right side
    16,076.50x = 306,408,810.63
  5. Step 5: Solve for x
    x = 306,408,810.63/16,076.50
  6. Step 6: Final answer
    x = 19,059.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.