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Finding the Fourth Proportional to 24,392.63, 33,662.03 and 13,214.63

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Solution

The fourth proportional to 24,392.63, 33,662.03 and 13,214.63 is: 18,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.63 : 33,662.03 = 13,214.63 : x
  2. Step 2: Convert to fraction form
    24,392.63/33,662.03 = 13,214.63/x
  3. Step 3: Cross multiply
    24,392.63x = 33,662.03 × 13,214.63
  4. Step 4: Simplify right side
    24,392.63x = 444,831,037.12
  5. Step 5: Solve for x
    x = 444,831,037.12/24,392.63
  6. Step 6: Final answer
    x = 18,236.29

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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.