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Finding the Fourth Proportional to 12,019.24, 18,033.18 and 5,779

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Solution

The fourth proportional to 12,019.24, 18,033.18 and 5,779 is: 8,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.24 : 18,033.18 = 5,779 : x
  2. Step 2: Convert to fraction form
    12,019.24/18,033.18 = 5,779/x
  3. Step 3: Cross multiply
    12,019.24x = 18,033.18 × 5,779
  4. Step 4: Simplify right side
    12,019.24x = 104,213,747.22
  5. Step 5: Solve for x
    x = 104,213,747.22/12,019.24
  6. Step 6: Final answer
    x = 8,670.58

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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.