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Finding the Fourth Proportional to 20,130.20, 30,158.85 and 16,412.30

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Solution

The fourth proportional to 20,130.20, 30,158.85 and 16,412.30 is: 24,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.20 : 30,158.85 = 16,412.30 : x
  2. Step 2: Convert to fraction form
    20,130.20/30,158.85 = 16,412.30/x
  3. Step 3: Cross multiply
    20,130.20x = 30,158.85 × 16,412.30
  4. Step 4: Simplify right side
    20,130.20x = 494,976,093.86
  5. Step 5: Solve for x
    x = 494,976,093.86/20,130.20
  6. Step 6: Final answer
    x = 24,588.73

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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.