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Finding the Fourth Proportional to 16,137.22, 22,208.68 and 13,652

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Solution

The fourth proportional to 16,137.22, 22,208.68 and 13,652 is: 18,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.22 : 22,208.68 = 13,652 : x
  2. Step 2: Convert to fraction form
    16,137.22/22,208.68 = 13,652/x
  3. Step 3: Cross multiply
    16,137.22x = 22,208.68 × 13,652
  4. Step 4: Simplify right side
    16,137.22x = 303,192,899.36
  5. Step 5: Solve for x
    x = 303,192,899.36/16,137.22
  6. Step 6: Final answer
    x = 18,788.42

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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.