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Finding the Fourth Proportional to 12,022.56, 18,026.28 and 7,857.54

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Solution

The fourth proportional to 12,022.56, 18,026.28 and 7,857.54 is: 11,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.56 : 18,026.28 = 7,857.54 : x
  2. Step 2: Convert to fraction form
    12,022.56/18,026.28 = 7,857.54/x
  3. Step 3: Cross multiply
    12,022.56x = 18,026.28 × 7,857.54
  4. Step 4: Simplify right side
    12,022.56x = 141,642,216.15
  5. Step 5: Solve for x
    x = 141,642,216.15/12,022.56
  6. Step 6: Final answer
    x = 11,781.37

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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.