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Finding the Fourth Proportional to 12,023.68, 18,033.84 and 4,126.06

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Solution

The fourth proportional to 12,023.68, 18,033.84 and 4,126.06 is: 6,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.68 : 18,033.84 = 4,126.06 : x
  2. Step 2: Convert to fraction form
    12,023.68/18,033.84 = 4,126.06/x
  3. Step 3: Cross multiply
    12,023.68x = 18,033.84 × 4,126.06
  4. Step 4: Simplify right side
    12,023.68x = 74,408,705.87
  5. Step 5: Solve for x
    x = 74,408,705.87/12,023.68
  6. Step 6: Final answer
    x = 6,188.51

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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.