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Finding the Fourth Proportional to 16,408.16, 24,609.60 and 5,876.22

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Solution

The fourth proportional to 16,408.16, 24,609.60 and 5,876.22 is: 8,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.16 : 24,609.60 = 5,876.22 : x
  2. Step 2: Convert to fraction form
    16,408.16/24,609.60 = 5,876.22/x
  3. Step 3: Cross multiply
    16,408.16x = 24,609.60 × 5,876.22
  4. Step 4: Simplify right side
    16,408.16x = 144,611,423.71
  5. Step 5: Solve for x
    x = 144,611,423.71/16,408.16
  6. Step 6: Final answer
    x = 8,813.38

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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.