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Finding the Fourth Proportional to 12,122.74, 16,729.41 and 6,745.24

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Solution

The fourth proportional to 12,122.74, 16,729.41 and 6,745.24 is: 9,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.74 : 16,729.41 = 6,745.24 : x
  2. Step 2: Convert to fraction form
    12,122.74/16,729.41 = 6,745.24/x
  3. Step 3: Cross multiply
    12,122.74x = 16,729.41 × 6,745.24
  4. Step 4: Simplify right side
    12,122.74x = 112,843,885.51
  5. Step 5: Solve for x
    x = 112,843,885.51/12,122.74
  6. Step 6: Final answer
    x = 9,308.45

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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.