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Finding the Fourth Proportional to 12,028.10, 16,594.07 and 6,991.42

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Solution

The fourth proportional to 12,028.10, 16,594.07 and 6,991.42 is: 9,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.10 : 16,594.07 = 6,991.42 : x
  2. Step 2: Convert to fraction form
    12,028.10/16,594.07 = 6,991.42/x
  3. Step 3: Cross multiply
    12,028.10x = 16,594.07 × 6,991.42
  4. Step 4: Simplify right side
    12,028.10x = 116,016,112.88
  5. Step 5: Solve for x
    x = 116,016,112.88/12,028.10
  6. Step 6: Final answer
    x = 9,645.42

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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.