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Finding the Fourth Proportional to 12,179.36, 16,799.16 and 7,466

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Solution

The fourth proportional to 12,179.36, 16,799.16 and 7,466 is: 10,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.36 : 16,799.16 = 7,466 : x
  2. Step 2: Convert to fraction form
    12,179.36/16,799.16 = 7,466/x
  3. Step 3: Cross multiply
    12,179.36x = 16,799.16 × 7,466
  4. Step 4: Simplify right side
    12,179.36x = 125,422,528.56
  5. Step 5: Solve for x
    x = 125,422,528.56/12,179.36
  6. Step 6: Final answer
    x = 10,297.96

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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.