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Finding the Fourth Proportional to 13,588.70, 20,383.65 and 3,728.97

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Solution

The fourth proportional to 13,588.70, 20,383.65 and 3,728.97 is: 5,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.70 : 20,383.65 = 3,728.97 : x
  2. Step 2: Convert to fraction form
    13,588.70/20,383.65 = 3,728.97/x
  3. Step 3: Cross multiply
    13,588.70x = 20,383.65 × 3,728.97
  4. Step 4: Simplify right side
    13,588.70x = 76,010,019.34
  5. Step 5: Solve for x
    x = 76,010,019.34/13,588.70
  6. Step 6: Final answer
    x = 5,593.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.