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Finding the Fourth Proportional to 12,127.77, 16,738.37 and 7,022.54

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Solution

The fourth proportional to 12,127.77, 16,738.37 and 7,022.54 is: 9,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.77 : 16,738.37 = 7,022.54 : x
  2. Step 2: Convert to fraction form
    12,127.77/16,738.37 = 7,022.54/x
  3. Step 3: Cross multiply
    12,127.77x = 16,738.37 × 7,022.54
  4. Step 4: Simplify right side
    12,127.77x = 117,545,872.86
  5. Step 5: Solve for x
    x = 117,545,872.86/12,127.77
  6. Step 6: Final answer
    x = 9,692.29

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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.