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Finding the Fourth Proportional to 15,305, 22,961.34 and 4,361

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Solution

The fourth proportional to 15,305, 22,961.34 and 4,361 is: 6,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305 : 22,961.34 = 4,361 : x
  2. Step 2: Convert to fraction form
    15,305/22,961.34 = 4,361/x
  3. Step 3: Cross multiply
    15,305x = 22,961.34 × 4,361
  4. Step 4: Simplify right side
    15,305x = 100,134,403.74
  5. Step 5: Solve for x
    x = 100,134,403.74/15,305
  6. Step 6: Final answer
    x = 6,542.59

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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.