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Finding the Fourth Proportional to 15,820.67, 21,832.56 and 8,651.05

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Solution

The fourth proportional to 15,820.67, 21,832.56 and 8,651.05 is: 11,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.67 : 21,832.56 = 8,651.05 : x
  2. Step 2: Convert to fraction form
    15,820.67/21,832.56 = 8,651.05/x
  3. Step 3: Cross multiply
    15,820.67x = 21,832.56 × 8,651.05
  4. Step 4: Simplify right side
    15,820.67x = 188,874,415.77
  5. Step 5: Solve for x
    x = 188,874,415.77/15,820.67
  6. Step 6: Final answer
    x = 11,938.46

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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.