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Finding the Fourth Proportional to 23,777.69, 32,813.30 and 13,167.09

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Solution

The fourth proportional to 23,777.69, 32,813.30 and 13,167.09 is: 18,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.69 : 32,813.30 = 13,167.09 : x
  2. Step 2: Convert to fraction form
    23,777.69/32,813.30 = 13,167.09/x
  3. Step 3: Cross multiply
    23,777.69x = 32,813.30 × 13,167.09
  4. Step 4: Simplify right side
    23,777.69x = 432,055,707.21
  5. Step 5: Solve for x
    x = 432,055,707.21/23,777.69
  6. Step 6: Final answer
    x = 18,170.64

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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.