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Finding the Fourth Proportional to 23,141.27, 34,684.07 and 10,644.07

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Solution

The fourth proportional to 23,141.27, 34,684.07 and 10,644.07 is: 15,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.27 : 34,684.07 = 10,644.07 : x
  2. Step 2: Convert to fraction form
    23,141.27/34,684.07 = 10,644.07/x
  3. Step 3: Cross multiply
    23,141.27x = 34,684.07 × 10,644.07
  4. Step 4: Simplify right side
    23,141.27x = 369,179,495.54
  5. Step 5: Solve for x
    x = 369,179,495.54/23,141.27
  6. Step 6: Final answer
    x = 15,953.30

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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.