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Finding the Fourth Proportional to 13,764.96, 18,996.12 and 8,461.56

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Solution

The fourth proportional to 13,764.96, 18,996.12 and 8,461.56 is: 11,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.96 : 18,996.12 = 8,461.56 : x
  2. Step 2: Convert to fraction form
    13,764.96/18,996.12 = 8,461.56/x
  3. Step 3: Cross multiply
    13,764.96x = 18,996.12 × 8,461.56
  4. Step 4: Simplify right side
    13,764.96x = 160,736,809.15
  5. Step 5: Solve for x
    x = 160,736,809.15/13,764.96
  6. Step 6: Final answer
    x = 11,677.24

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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.