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Finding the Fourth Proportional to 23,704.57, 35,577.24 and 9,672.31

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Solution

The fourth proportional to 23,704.57, 35,577.24 and 9,672.31 is: 14,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.57 : 35,577.24 = 9,672.31 : x
  2. Step 2: Convert to fraction form
    23,704.57/35,577.24 = 9,672.31/x
  3. Step 3: Cross multiply
    23,704.57x = 35,577.24 × 9,672.31
  4. Step 4: Simplify right side
    23,704.57x = 344,114,094.22
  5. Step 5: Solve for x
    x = 344,114,094.22/23,704.57
  6. Step 6: Final answer
    x = 14,516.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.