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Finding the Fourth Proportional to 12,101.02, 16,698.97 and 6,796.06

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Solution

The fourth proportional to 12,101.02, 16,698.97 and 6,796.06 is: 9,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.02 : 16,698.97 = 6,796.06 : x
  2. Step 2: Convert to fraction form
    12,101.02/16,698.97 = 6,796.06/x
  3. Step 3: Cross multiply
    12,101.02x = 16,698.97 × 6,796.06
  4. Step 4: Simplify right side
    12,101.02x = 113,487,202.06
  5. Step 5: Solve for x
    x = 113,487,202.06/12,101.02
  6. Step 6: Final answer
    x = 9,378.32

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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.