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Finding the Fourth Proportional to 29,992.41, 41,388.40 and 16,380

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Solution

The fourth proportional to 29,992.41, 41,388.40 and 16,380 is: 22,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992.41 : 41,388.40 = 16,380 : x
  2. Step 2: Convert to fraction form
    29,992.41/41,388.40 = 16,380/x
  3. Step 3: Cross multiply
    29,992.41x = 41,388.40 × 16,380
  4. Step 4: Simplify right side
    29,992.41x = 677,941,951.05
  5. Step 5: Solve for x
    x = 677,941,951.05/29,992.41
  6. Step 6: Final answer
    x = 22,603.78

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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.