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Finding the Fourth Proportional to 24,057.90, 33,201.65 and 13,446.84

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Solution

The fourth proportional to 24,057.90, 33,201.65 and 13,446.84 is: 18,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.90 : 33,201.65 = 13,446.84 : x
  2. Step 2: Convert to fraction form
    24,057.90/33,201.65 = 13,446.84/x
  3. Step 3: Cross multiply
    24,057.90x = 33,201.65 × 13,446.84
  4. Step 4: Simplify right side
    24,057.90x = 446,457,208.05
  5. Step 5: Solve for x
    x = 446,457,208.05/24,057.90
  6. Step 6: Final answer
    x = 18,557.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.