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Finding the Fourth Proportional to 13,731, 20,580.96 and 8,996.16

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Solution

The fourth proportional to 13,731, 20,580.96 and 8,996.16 is: 13,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 20,580.96 = 8,996.16 : x
  2. Step 2: Convert to fraction form
    13,731/20,580.96 = 8,996.16/x
  3. Step 3: Cross multiply
    13,731x = 20,580.96 × 8,996.16
  4. Step 4: Simplify right side
    13,731x = 185,149,609.11
  5. Step 5: Solve for x
    x = 185,149,609.11/13,731
  6. Step 6: Final answer
    x = 13,484.06

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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.