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Finding the Fourth Proportional to 23,680.89, 32,638.50 and 17,297.01

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Solution

The fourth proportional to 23,680.89, 32,638.50 and 17,297.01 is: 23,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.89 : 32,638.50 = 17,297.01 : x
  2. Step 2: Convert to fraction form
    23,680.89/32,638.50 = 17,297.01/x
  3. Step 3: Cross multiply
    23,680.89x = 32,638.50 × 17,297.01
  4. Step 4: Simplify right side
    23,680.89x = 564,548,460.89
  5. Step 5: Solve for x
    x = 564,548,460.89/23,680.89
  6. Step 6: Final answer
    x = 23,839.83

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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.