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Finding the Fourth Proportional to 23,709.73, 32,720.37 and 13,638.17

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Solution

The fourth proportional to 23,709.73, 32,720.37 and 13,638.17 is: 18,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.73 : 32,720.37 = 13,638.17 : x
  2. Step 2: Convert to fraction form
    23,709.73/32,720.37 = 13,638.17/x
  3. Step 3: Cross multiply
    23,709.73x = 32,720.37 × 13,638.17
  4. Step 4: Simplify right side
    23,709.73x = 446,245,968.52
  5. Step 5: Solve for x
    x = 446,245,968.52/23,709.73
  6. Step 6: Final answer
    x = 18,821.22

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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.