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Finding the Fourth Proportional to 24,251.63, 33,464.64 and 13,494.78

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Solution

The fourth proportional to 24,251.63, 33,464.64 and 13,494.78 is: 18,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.63 : 33,464.64 = 13,494.78 : x
  2. Step 2: Convert to fraction form
    24,251.63/33,464.64 = 13,494.78/x
  3. Step 3: Cross multiply
    24,251.63x = 33,464.64 × 13,494.78
  4. Step 4: Simplify right side
    24,251.63x = 451,597,911.07
  5. Step 5: Solve for x
    x = 451,597,911.07/24,251.63
  6. Step 6: Final answer
    x = 18,621.34

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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.