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Finding the Fourth Proportional to 20,412.30, 30,589.93 and 11,032.09

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Solution

The fourth proportional to 20,412.30, 30,589.93 and 11,032.09 is: 16,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.30 : 30,589.93 = 11,032.09 : x
  2. Step 2: Convert to fraction form
    20,412.30/30,589.93 = 11,032.09/x
  3. Step 3: Cross multiply
    20,412.30x = 30,589.93 × 11,032.09
  4. Step 4: Simplify right side
    20,412.30x = 337,470,860.85
  5. Step 5: Solve for x
    x = 337,470,860.85/20,412.30
  6. Step 6: Final answer
    x = 16,532.72

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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.