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Finding the Fourth Proportional to 12,129, 16,738.80 and 7,352.22

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Solution

The fourth proportional to 12,129, 16,738.80 and 7,352.22 is: 10,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 16,738.80 = 7,352.22 : x
  2. Step 2: Convert to fraction form
    12,129/16,738.80 = 7,352.22/x
  3. Step 3: Cross multiply
    12,129x = 16,738.80 × 7,352.22
  4. Step 4: Simplify right side
    12,129x = 123,067,340.14
  5. Step 5: Solve for x
    x = 123,067,340.14/12,129
  6. Step 6: Final answer
    x = 10,146.54

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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.