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Finding the Fourth Proportional to 24,392.81, 33,662.08 and 13,214.81

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Solution

The fourth proportional to 24,392.81, 33,662.08 and 13,214.81 is: 18,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.81 : 33,662.08 = 13,214.81 : x
  2. Step 2: Convert to fraction form
    24,392.81/33,662.08 = 13,214.81/x
  3. Step 3: Cross multiply
    24,392.81x = 33,662.08 × 13,214.81
  4. Step 4: Simplify right side
    24,392.81x = 444,838,092.08
  5. Step 5: Solve for x
    x = 444,838,092.08/24,392.81
  6. Step 6: Final answer
    x = 18,236.44

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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.