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Finding the Fourth Proportional to 18,742.64, 25,870.44 and 11,194.24

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Solution

The fourth proportional to 18,742.64, 25,870.44 and 11,194.24 is: 15,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,742.64 : 25,870.44 = 11,194.24 : x
  2. Step 2: Convert to fraction form
    18,742.64/25,870.44 = 11,194.24/x
  3. Step 3: Cross multiply
    18,742.64x = 25,870.44 × 11,194.24
  4. Step 4: Simplify right side
    18,742.64x = 289,599,914.27
  5. Step 5: Solve for x
    x = 289,599,914.27/18,742.64
  6. Step 6: Final answer
    x = 15,451.39

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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.