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Finding the Fourth Proportional to 21,488.38, 29,654.22 and 11,928.46

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Solution

The fourth proportional to 21,488.38, 29,654.22 and 11,928.46 is: 16,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.38 : 29,654.22 = 11,928.46 : x
  2. Step 2: Convert to fraction form
    21,488.38/29,654.22 = 11,928.46/x
  3. Step 3: Cross multiply
    21,488.38x = 29,654.22 × 11,928.46
  4. Step 4: Simplify right side
    21,488.38x = 353,729,177.10
  5. Step 5: Solve for x
    x = 353,729,177.10/21,488.38
  6. Step 6: Final answer
    x = 16,461.42

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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.