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Finding the Fourth Proportional to 13,811, 19,060.98 and 8,222

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Solution

The fourth proportional to 13,811, 19,060.98 and 8,222 is: 11,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811 : 19,060.98 = 8,222 : x
  2. Step 2: Convert to fraction form
    13,811/19,060.98 = 8,222/x
  3. Step 3: Cross multiply
    13,811x = 19,060.98 × 8,222
  4. Step 4: Simplify right side
    13,811x = 156,719,377.56
  5. Step 5: Solve for x
    x = 156,719,377.56/13,811
  6. Step 6: Final answer
    x = 11,347.43

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