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Finding the Fourth Proportional to 19,914.50, 29,851.68 and 12,524.24

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Solution

The fourth proportional to 19,914.50, 29,851.68 and 12,524.24 is: 18,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.50 : 29,851.68 = 12,524.24 : x
  2. Step 2: Convert to fraction form
    19,914.50/29,851.68 = 12,524.24/x
  3. Step 3: Cross multiply
    19,914.50x = 29,851.68 × 12,524.24
  4. Step 4: Simplify right side
    19,914.50x = 373,869,604.72
  5. Step 5: Solve for x
    x = 373,869,604.72/19,914.50
  6. Step 6: Final answer
    x = 18,773.74

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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.