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Finding the Fourth Proportional to 27,835.84, 38,401.86 and 15,896.44

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Solution

The fourth proportional to 27,835.84, 38,401.86 and 15,896.44 is: 21,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.84 : 38,401.86 = 15,896.44 : x
  2. Step 2: Convert to fraction form
    27,835.84/38,401.86 = 15,896.44/x
  3. Step 3: Cross multiply
    27,835.84x = 38,401.86 × 15,896.44
  4. Step 4: Simplify right side
    27,835.84x = 610,452,863.38
  5. Step 5: Solve for x
    x = 610,452,863.38/27,835.84
  6. Step 6: Final answer
    x = 21,930.46

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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.