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Finding the Fourth Proportional to 25,594, 38,391 and 11,002

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Solution

The fourth proportional to 25,594, 38,391 and 11,002 is: 16,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594 : 38,391 = 11,002 : x
  2. Step 2: Convert to fraction form
    25,594/38,391 = 11,002/x
  3. Step 3: Cross multiply
    25,594x = 38,391 × 11,002
  4. Step 4: Simplify right side
    25,594x = 422,377,782
  5. Step 5: Solve for x
    x = 422,377,782/25,594
  6. Step 6: Final answer
    x = 16,503

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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.