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Finding the Fourth Proportional to 25,383, 38,087.82 and 10,401.24

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Solution

The fourth proportional to 25,383, 38,087.82 and 10,401.24 is: 15,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383 : 38,087.82 = 10,401.24 : x
  2. Step 2: Convert to fraction form
    25,383/38,087.82 = 10,401.24/x
  3. Step 3: Cross multiply
    25,383x = 38,087.82 × 10,401.24
  4. Step 4: Simplify right side
    25,383x = 396,160,556.90
  5. Step 5: Solve for x
    x = 396,160,556.90/25,383
  6. Step 6: Final answer
    x = 15,607.32

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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.