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Finding the Fourth Proportional to 24,395.75, 33,662.31 and 14,189.05

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Solution

The fourth proportional to 24,395.75, 33,662.31 and 14,189.05 is: 19,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.75 : 33,662.31 = 14,189.05 : x
  2. Step 2: Convert to fraction form
    24,395.75/33,662.31 = 14,189.05/x
  3. Step 3: Cross multiply
    24,395.75x = 33,662.31 × 14,189.05
  4. Step 4: Simplify right side
    24,395.75x = 477,636,118.94
  5. Step 5: Solve for x
    x = 477,636,118.94/24,395.75
  6. Step 6: Final answer
    x = 19,578.66

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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.