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Finding the Fourth Proportional to 20,189.08, 30,239.84 and 9,779

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Solution

The fourth proportional to 20,189.08, 30,239.84 and 9,779 is: 14,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.08 : 30,239.84 = 9,779 : x
  2. Step 2: Convert to fraction form
    20,189.08/30,239.84 = 9,779/x
  3. Step 3: Cross multiply
    20,189.08x = 30,239.84 × 9,779
  4. Step 4: Simplify right side
    20,189.08x = 295,715,395.36
  5. Step 5: Solve for x
    x = 295,715,395.36/20,189.08
  6. Step 6: Final answer
    x = 14,647.29

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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.