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Finding the Fourth Proportional to 16,408.96, 24,617.04 and 6,020.80

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Solution

The fourth proportional to 16,408.96, 24,617.04 and 6,020.80 is: 9,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.96 : 24,617.04 = 6,020.80 : x
  2. Step 2: Convert to fraction form
    16,408.96/24,617.04 = 6,020.80/x
  3. Step 3: Cross multiply
    16,408.96x = 24,617.04 × 6,020.80
  4. Step 4: Simplify right side
    16,408.96x = 148,214,274.43
  5. Step 5: Solve for x
    x = 148,214,274.43/16,408.96
  6. Step 6: Final answer
    x = 9,032.52

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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.