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Finding the Fourth Proportional to 14,522.84, 20,039.44 and 8,234

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Solution

The fourth proportional to 14,522.84, 20,039.44 and 8,234 is: 11,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.84 : 20,039.44 = 8,234 : x
  2. Step 2: Convert to fraction form
    14,522.84/20,039.44 = 8,234/x
  3. Step 3: Cross multiply
    14,522.84x = 20,039.44 × 8,234
  4. Step 4: Simplify right side
    14,522.84x = 165,004,748.96
  5. Step 5: Solve for x
    x = 165,004,748.96/14,522.84
  6. Step 6: Final answer
    x = 11,361.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.