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Finding the Fourth Proportional to 23,813.78, 35,725.82 and 7,172.51

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Solution

The fourth proportional to 23,813.78, 35,725.82 and 7,172.51 is: 10,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.78 : 35,725.82 = 7,172.51 : x
  2. Step 2: Convert to fraction form
    23,813.78/35,725.82 = 7,172.51/x
  3. Step 3: Cross multiply
    23,813.78x = 35,725.82 × 7,172.51
  4. Step 4: Simplify right side
    23,813.78x = 256,243,586.72
  5. Step 5: Solve for x
    x = 256,243,586.72/23,813.78
  6. Step 6: Final answer
    x = 10,760.31

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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.