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Finding the Fourth Proportional to 23,771.16, 35,645.22 and 11,919.85

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Solution

The fourth proportional to 23,771.16, 35,645.22 and 11,919.85 is: 17,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.16 : 35,645.22 = 11,919.85 : x
  2. Step 2: Convert to fraction form
    23,771.16/35,645.22 = 11,919.85/x
  3. Step 3: Cross multiply
    23,771.16x = 35,645.22 × 11,919.85
  4. Step 4: Simplify right side
    23,771.16x = 424,885,586.50
  5. Step 5: Solve for x
    x = 424,885,586.50/23,771.16
  6. Step 6: Final answer
    x = 17,873.99

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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.