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Finding the Fourth Proportional to 13,141.70, 18,137.21 and 8,674.74

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Solution

The fourth proportional to 13,141.70, 18,137.21 and 8,674.74 is: 11,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.70 : 18,137.21 = 8,674.74 : x
  2. Step 2: Convert to fraction form
    13,141.70/18,137.21 = 8,674.74/x
  3. Step 3: Cross multiply
    13,141.70x = 18,137.21 × 8,674.74
  4. Step 4: Simplify right side
    13,141.70x = 157,335,581.08
  5. Step 5: Solve for x
    x = 157,335,581.08/13,141.70
  6. Step 6: Final answer
    x = 11,972.24

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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.