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Finding the Fourth Proportional to 24,313.64, 33,550.81 and 13,705.88

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Solution

The fourth proportional to 24,313.64, 33,550.81 and 13,705.88 is: 18,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.64 : 33,550.81 = 13,705.88 : x
  2. Step 2: Convert to fraction form
    24,313.64/33,550.81 = 13,705.88/x
  3. Step 3: Cross multiply
    24,313.64x = 33,550.81 × 13,705.88
  4. Step 4: Simplify right side
    24,313.64x = 459,843,173.74
  5. Step 5: Solve for x
    x = 459,843,173.74/24,313.64
  6. Step 6: Final answer
    x = 18,912.98

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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.