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Finding the Fourth Proportional to 25,893.28, 38,843.76 and 9,476

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Solution

The fourth proportional to 25,893.28, 38,843.76 and 9,476 is: 14,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.28 : 38,843.76 = 9,476 : x
  2. Step 2: Convert to fraction form
    25,893.28/38,843.76 = 9,476/x
  3. Step 3: Cross multiply
    25,893.28x = 38,843.76 × 9,476
  4. Step 4: Simplify right side
    25,893.28x = 368,083,469.76
  5. Step 5: Solve for x
    x = 368,083,469.76/25,893.28
  6. Step 6: Final answer
    x = 14,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.