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Finding the Fourth Proportional to 16,408.20, 24,612.30 and 9,409.80

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Solution

The fourth proportional to 16,408.20, 24,612.30 and 9,409.80 is: 14,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.20 : 24,612.30 = 9,409.80 : x
  2. Step 2: Convert to fraction form
    16,408.20/24,612.30 = 9,409.80/x
  3. Step 3: Cross multiply
    16,408.20x = 24,612.30 × 9,409.80
  4. Step 4: Simplify right side
    16,408.20x = 231,596,820.54
  5. Step 5: Solve for x
    x = 231,596,820.54/16,408.20
  6. Step 6: Final answer
    x = 14,114.70

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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.