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Finding the Fourth Proportional to 12,023.44, 18,044.46 and 7,862.32

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Solution

The fourth proportional to 12,023.44, 18,044.46 and 7,862.32 is: 11,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.44 : 18,044.46 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    12,023.44/18,044.46 = 7,862.32/x
  3. Step 3: Cross multiply
    12,023.44x = 18,044.46 × 7,862.32
  4. Step 4: Simplify right side
    12,023.44x = 141,871,318.75
  5. Step 5: Solve for x
    x = 141,871,318.75/12,023.44
  6. Step 6: Final answer
    x = 11,799.56

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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.