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Finding the Fourth Proportional to 24,145.96, 33,317.22 and 13,535.32

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Solution

The fourth proportional to 24,145.96, 33,317.22 and 13,535.32 is: 18,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.96 : 33,317.22 = 13,535.32 : x
  2. Step 2: Convert to fraction form
    24,145.96/33,317.22 = 13,535.32/x
  3. Step 3: Cross multiply
    24,145.96x = 33,317.22 × 13,535.32
  4. Step 4: Simplify right side
    24,145.96x = 450,959,234.21
  5. Step 5: Solve for x
    x = 450,959,234.21/24,145.96
  6. Step 6: Final answer
    x = 18,676.38

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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.