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Finding the Fourth Proportional to 12,021.16, 18,033.84 and 5,792.41

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Solution

The fourth proportional to 12,021.16, 18,033.84 and 5,792.41 is: 8,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.16 : 18,033.84 = 5,792.41 : x
  2. Step 2: Convert to fraction form
    12,021.16/18,033.84 = 5,792.41/x
  3. Step 3: Cross multiply
    12,021.16x = 18,033.84 × 5,792.41
  4. Step 4: Simplify right side
    12,021.16x = 104,459,395.15
  5. Step 5: Solve for x
    x = 104,459,395.15/12,021.16
  6. Step 6: Final answer
    x = 8,689.63

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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.