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Finding the Fourth Proportional to 12,808.44, 19,213.74 and 4,041

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Solution

The fourth proportional to 12,808.44, 19,213.74 and 4,041 is: 6,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.44 : 19,213.74 = 4,041 : x
  2. Step 2: Convert to fraction form
    12,808.44/19,213.74 = 4,041/x
  3. Step 3: Cross multiply
    12,808.44x = 19,213.74 × 4,041
  4. Step 4: Simplify right side
    12,808.44x = 77,642,723.34
  5. Step 5: Solve for x
    x = 77,642,723.34/12,808.44
  6. Step 6: Final answer
    x = 6,061.84

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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.