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Finding the Fourth Proportional to 23,678.80, 32,676.56 and 13,469.80

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Solution

The fourth proportional to 23,678.80, 32,676.56 and 13,469.80 is: 18,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.80 : 32,676.56 = 13,469.80 : x
  2. Step 2: Convert to fraction form
    23,678.80/32,676.56 = 13,469.80/x
  3. Step 3: Cross multiply
    23,678.80x = 32,676.56 × 13,469.80
  4. Step 4: Simplify right side
    23,678.80x = 440,146,727.89
  5. Step 5: Solve for x
    x = 440,146,727.89/23,678.80
  6. Step 6: Final answer
    x = 18,588.22

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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.