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Finding the Fourth Proportional to 13,714.11, 18,914.14 and 9,236.02

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Solution

The fourth proportional to 13,714.11, 18,914.14 and 9,236.02 is: 12,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.11 : 18,914.14 = 9,236.02 : x
  2. Step 2: Convert to fraction form
    13,714.11/18,914.14 = 9,236.02/x
  3. Step 3: Cross multiply
    13,714.11x = 18,914.14 × 9,236.02
  4. Step 4: Simplify right side
    13,714.11x = 174,691,375.32
  5. Step 5: Solve for x
    x = 174,691,375.32/13,714.11
  6. Step 6: Final answer
    x = 12,738.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.