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Finding the Fourth Proportional to 12,022.64, 18,028.01 and 7,026.27

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Solution

The fourth proportional to 12,022.64, 18,028.01 and 7,026.27 is: 10,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.64 : 18,028.01 = 7,026.27 : x
  2. Step 2: Convert to fraction form
    12,022.64/18,028.01 = 7,026.27/x
  3. Step 3: Cross multiply
    12,022.64x = 18,028.01 × 7,026.27
  4. Step 4: Simplify right side
    12,022.64x = 126,669,683.39
  5. Step 5: Solve for x
    x = 126,669,683.39/12,022.64
  6. Step 6: Final answer
    x = 10,535.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.