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Finding the Fourth Proportional to 17,640.12, 24,340.62 and 11,361

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Solution

The fourth proportional to 17,640.12, 24,340.62 and 11,361 is: 15,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.12 : 24,340.62 = 11,361 : x
  2. Step 2: Convert to fraction form
    17,640.12/24,340.62 = 11,361/x
  3. Step 3: Cross multiply
    17,640.12x = 24,340.62 × 11,361
  4. Step 4: Simplify right side
    17,640.12x = 276,533,783.82
  5. Step 5: Solve for x
    x = 276,533,783.82/17,640.12
  6. Step 6: Final answer
    x = 15,676.41

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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.