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Finding the Fourth Proportional to 20,412.81, 30,590.46 and 16,234.29

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Solution

The fourth proportional to 20,412.81, 30,590.46 and 16,234.29 is: 24,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.81 : 30,590.46 = 16,234.29 : x
  2. Step 2: Convert to fraction form
    20,412.81/30,590.46 = 16,234.29/x
  3. Step 3: Cross multiply
    20,412.81x = 30,590.46 × 16,234.29
  4. Step 4: Simplify right side
    20,412.81x = 496,614,398.87
  5. Step 5: Solve for x
    x = 496,614,398.87/20,412.81
  6. Step 6: Final answer
    x = 24,328.57

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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.