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Finding the Fourth Proportional to 21,747, 30,011.22 and 11,811

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Solution

The fourth proportional to 21,747, 30,011.22 and 11,811 is: 16,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747 : 30,011.22 = 11,811 : x
  2. Step 2: Convert to fraction form
    21,747/30,011.22 = 11,811/x
  3. Step 3: Cross multiply
    21,747x = 30,011.22 × 11,811
  4. Step 4: Simplify right side
    21,747x = 354,462,519.42
  5. Step 5: Solve for x
    x = 354,462,519.42/21,747
  6. Step 6: Final answer
    x = 16,299.38

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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.