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Finding the Fourth Proportional to 24,309.96, 33,546.87 and 13,700.58

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Solution

The fourth proportional to 24,309.96, 33,546.87 and 13,700.58 is: 18,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.96 : 33,546.87 = 13,700.58 : x
  2. Step 2: Convert to fraction form
    24,309.96/33,546.87 = 13,700.58/x
  3. Step 3: Cross multiply
    24,309.96x = 33,546.87 × 13,700.58
  4. Step 4: Simplify right side
    24,309.96x = 459,611,576.18
  5. Step 5: Solve for x
    x = 459,611,576.18/24,309.96
  6. Step 6: Final answer
    x = 18,906.31

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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.