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Finding the Fourth Proportional to 23,616.96, 32,593.74 and 17,638.26

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Solution

The fourth proportional to 23,616.96, 32,593.74 and 17,638.26 is: 24,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.96 : 32,593.74 = 17,638.26 : x
  2. Step 2: Convert to fraction form
    23,616.96/32,593.74 = 17,638.26/x
  3. Step 3: Cross multiply
    23,616.96x = 32,593.74 × 17,638.26
  4. Step 4: Simplify right side
    23,616.96x = 574,896,860.49
  5. Step 5: Solve for x
    x = 574,896,860.49/23,616.96
  6. Step 6: Final answer
    x = 24,342.54

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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.