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Finding the Fourth Proportional to 13,173.74, 18,181.46 and 8,140.40

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Solution

The fourth proportional to 13,173.74, 18,181.46 and 8,140.40 is: 11,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.74 : 18,181.46 = 8,140.40 : x
  2. Step 2: Convert to fraction form
    13,173.74/18,181.46 = 8,140.40/x
  3. Step 3: Cross multiply
    13,173.74x = 18,181.46 × 8,140.40
  4. Step 4: Simplify right side
    13,173.74x = 148,004,356.98
  5. Step 5: Solve for x
    x = 148,004,356.98/13,173.74
  6. Step 6: Final answer
    x = 11,234.80

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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.