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Finding the Fourth Proportional to 23,257.67, 32,096.42 and 13,323.59

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Solution

The fourth proportional to 23,257.67, 32,096.42 and 13,323.59 is: 18,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.67 : 32,096.42 = 13,323.59 : x
  2. Step 2: Convert to fraction form
    23,257.67/32,096.42 = 13,323.59/x
  3. Step 3: Cross multiply
    23,257.67x = 32,096.42 × 13,323.59
  4. Step 4: Simplify right side
    23,257.67x = 427,639,413.37
  5. Step 5: Solve for x
    x = 427,639,413.37/23,257.67
  6. Step 6: Final answer
    x = 18,387.03

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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.