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Finding the Fourth Proportional to 23,706.37, 32,715.73 and 13,634.80

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Solution

The fourth proportional to 23,706.37, 32,715.73 and 13,634.80 is: 18,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.37 : 32,715.73 = 13,634.80 : x
  2. Step 2: Convert to fraction form
    23,706.37/32,715.73 = 13,634.80/x
  3. Step 3: Cross multiply
    23,706.37x = 32,715.73 × 13,634.80
  4. Step 4: Simplify right side
    23,706.37x = 446,072,370.66
  5. Step 5: Solve for x
    x = 446,072,370.66/23,706.37
  6. Step 6: Final answer
    x = 18,816.56

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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.