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Finding the Fourth Proportional to 22,181.63, 33,256.04 and 13,414.59

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Solution

The fourth proportional to 22,181.63, 33,256.04 and 13,414.59 is: 20,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.63 : 33,256.04 = 13,414.59 : x
  2. Step 2: Convert to fraction form
    22,181.63/33,256.04 = 13,414.59/x
  3. Step 3: Cross multiply
    22,181.63x = 33,256.04 × 13,414.59
  4. Step 4: Simplify right side
    22,181.63x = 446,116,074.55
  5. Step 5: Solve for x
    x = 446,116,074.55/22,181.63
  6. Step 6: Final answer
    x = 20,111.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.