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Finding the Fourth Proportional to 16,160.94, 24,226.74 and 5,770.26

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Solution

The fourth proportional to 16,160.94, 24,226.74 and 5,770.26 is: 8,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.94 : 24,226.74 = 5,770.26 : x
  2. Step 2: Convert to fraction form
    16,160.94/24,226.74 = 5,770.26/x
  3. Step 3: Cross multiply
    16,160.94x = 24,226.74 × 5,770.26
  4. Step 4: Simplify right side
    16,160.94x = 139,794,588.75
  5. Step 5: Solve for x
    x = 139,794,588.75/16,160.94
  6. Step 6: Final answer
    x = 8,650.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.