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Finding the Fourth Proportional to 20,633.81, 28,476.42 and 11,682.89

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Solution

The fourth proportional to 20,633.81, 28,476.42 and 11,682.89 is: 16,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.81 : 28,476.42 = 11,682.89 : x
  2. Step 2: Convert to fraction form
    20,633.81/28,476.42 = 11,682.89/x
  3. Step 3: Cross multiply
    20,633.81x = 28,476.42 × 11,682.89
  4. Step 4: Simplify right side
    20,633.81x = 332,686,882.45
  5. Step 5: Solve for x
    x = 332,686,882.45/20,633.81
  6. Step 6: Final answer
    x = 16,123.39

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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.