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Finding the Fourth Proportional to 23,616.95, 32,593.70 and 17,638.25

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Solution

The fourth proportional to 23,616.95, 32,593.70 and 17,638.25 is: 24,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.95 : 32,593.70 = 17,638.25 : x
  2. Step 2: Convert to fraction form
    23,616.95/32,593.70 = 17,638.25/x
  3. Step 3: Cross multiply
    23,616.95x = 32,593.70 × 17,638.25
  4. Step 4: Simplify right side
    23,616.95x = 574,895,710.15
  5. Step 5: Solve for x
    x = 574,895,710.15/23,616.95
  6. Step 6: Final answer
    x = 24,342.51

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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.