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Finding the Fourth Proportional to 13,642.36, 20,502.06 and 8,096.74

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Solution

The fourth proportional to 13,642.36, 20,502.06 and 8,096.74 is: 12,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.36 : 20,502.06 = 8,096.74 : x
  2. Step 2: Convert to fraction form
    13,642.36/20,502.06 = 8,096.74/x
  3. Step 3: Cross multiply
    13,642.36x = 20,502.06 × 8,096.74
  4. Step 4: Simplify right side
    13,642.36x = 165,999,849.28
  5. Step 5: Solve for x
    x = 165,999,849.28/13,642.36
  6. Step 6: Final answer
    x = 12,167.97

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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.