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Finding the Fourth Proportional to 23,633.69, 32,615.24 and 13,563.97

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Solution

The fourth proportional to 23,633.69, 32,615.24 and 13,563.97 is: 18,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.69 : 32,615.24 = 13,563.97 : x
  2. Step 2: Convert to fraction form
    23,633.69/32,615.24 = 13,563.97/x
  3. Step 3: Cross multiply
    23,633.69x = 32,615.24 × 13,563.97
  4. Step 4: Simplify right side
    23,633.69x = 442,391,987.54
  5. Step 5: Solve for x
    x = 442,391,987.54/23,633.69
  6. Step 6: Final answer
    x = 18,718.71

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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.