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Finding the Fourth Proportional to 24,652.26, 33,978.69 and 18,682.02

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Solution

The fourth proportional to 24,652.26, 33,978.69 and 18,682.02 is: 25,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.26 : 33,978.69 = 18,682.02 : x
  2. Step 2: Convert to fraction form
    24,652.26/33,978.69 = 18,682.02/x
  3. Step 3: Cross multiply
    24,652.26x = 33,978.69 × 18,682.02
  4. Step 4: Simplify right side
    24,652.26x = 634,790,566.15
  5. Step 5: Solve for x
    x = 634,790,566.15/24,652.26
  6. Step 6: Final answer
    x = 25,749.79

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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.