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Finding the Fourth Proportional to 15,820.78, 21,832.67 and 8,650.73

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Solution

The fourth proportional to 15,820.78, 21,832.67 and 8,650.73 is: 11,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.78 : 21,832.67 = 8,650.73 : x
  2. Step 2: Convert to fraction form
    15,820.78/21,832.67 = 8,650.73/x
  3. Step 3: Cross multiply
    15,820.78x = 21,832.67 × 8,650.73
  4. Step 4: Simplify right side
    15,820.78x = 188,868,380.93
  5. Step 5: Solve for x
    x = 188,868,380.93/15,820.78
  6. Step 6: Final answer
    x = 11,938.00

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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.