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Finding the Fourth Proportional to 25,353, 38,029.65 and 6,885

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Solution

The fourth proportional to 25,353, 38,029.65 and 6,885 is: 10,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,353 : 38,029.65 = 6,885 : x
  2. Step 2: Convert to fraction form
    25,353/38,029.65 = 6,885/x
  3. Step 3: Cross multiply
    25,353x = 38,029.65 × 6,885
  4. Step 4: Simplify right side
    25,353x = 261,834,140.25
  5. Step 5: Solve for x
    x = 261,834,140.25/25,353
  6. Step 6: Final answer
    x = 10,327.54

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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.