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Finding the Fourth Proportional to 28,874, 39,846.14 and 15,626

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Solution

The fourth proportional to 28,874, 39,846.14 and 15,626 is: 21,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,874 : 39,846.14 = 15,626 : x
  2. Step 2: Convert to fraction form
    28,874/39,846.14 = 15,626/x
  3. Step 3: Cross multiply
    28,874x = 39,846.14 × 15,626
  4. Step 4: Simplify right side
    28,874x = 622,635,783.64
  5. Step 5: Solve for x
    x = 622,635,783.64/28,874
  6. Step 6: Final answer
    x = 21,563.89

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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.