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Finding the Fourth Proportional to 13,136.31, 18,128.13 and 8,420.61

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Solution

The fourth proportional to 13,136.31, 18,128.13 and 8,420.61 is: 11,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.31 : 18,128.13 = 8,420.61 : x
  2. Step 2: Convert to fraction form
    13,136.31/18,128.13 = 8,420.61/x
  3. Step 3: Cross multiply
    13,136.31x = 18,128.13 × 8,420.61
  4. Step 4: Simplify right side
    13,136.31x = 152,649,912.76
  5. Step 5: Solve for x
    x = 152,649,912.76/13,136.31
  6. Step 6: Final answer
    x = 11,620.46

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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.