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Finding the Fourth Proportional to 21,789.38, 30,074.80 and 12,833.62

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Solution

The fourth proportional to 21,789.38, 30,074.80 and 12,833.62 is: 17,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.38 : 30,074.80 = 12,833.62 : x
  2. Step 2: Convert to fraction form
    21,789.38/30,074.80 = 12,833.62/x
  3. Step 3: Cross multiply
    21,789.38x = 30,074.80 × 12,833.62
  4. Step 4: Simplify right side
    21,789.38x = 385,968,554.78
  5. Step 5: Solve for x
    x = 385,968,554.78/21,789.38
  6. Step 6: Final answer
    x = 17,713.61

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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.