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Finding the Fourth Proportional to 21,235.38, 29,311.66 and 12,858.90

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Solution

The fourth proportional to 21,235.38, 29,311.66 and 12,858.90 is: 17,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.38 : 29,311.66 = 12,858.90 : x
  2. Step 2: Convert to fraction form
    21,235.38/29,311.66 = 12,858.90/x
  3. Step 3: Cross multiply
    21,235.38x = 29,311.66 × 12,858.90
  4. Step 4: Simplify right side
    21,235.38x = 376,915,704.77
  5. Step 5: Solve for x
    x = 376,915,704.77/21,235.38
  6. Step 6: Final answer
    x = 17,749.42

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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.