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Finding the Fourth Proportional to 13,274.34, 18,310.96 and 8,297.70

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Solution

The fourth proportional to 13,274.34, 18,310.96 and 8,297.70 is: 11,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.34 : 18,310.96 = 8,297.70 : x
  2. Step 2: Convert to fraction form
    13,274.34/18,310.96 = 8,297.70/x
  3. Step 3: Cross multiply
    13,274.34x = 18,310.96 × 8,297.70
  4. Step 4: Simplify right side
    13,274.34x = 151,938,852.79
  5. Step 5: Solve for x
    x = 151,938,852.79/13,274.34
  6. Step 6: Final answer
    x = 11,446.06

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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.