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Finding the Fourth Proportional to 18,131.64, 25,021.80 and 11,844

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Solution

The fourth proportional to 18,131.64, 25,021.80 and 11,844 is: 16,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.64 : 25,021.80 = 11,844 : x
  2. Step 2: Convert to fraction form
    18,131.64/25,021.80 = 11,844/x
  3. Step 3: Cross multiply
    18,131.64x = 25,021.80 × 11,844
  4. Step 4: Simplify right side
    18,131.64x = 296,358,199.20
  5. Step 5: Solve for x
    x = 296,358,199.20/18,131.64
  6. Step 6: Final answer
    x = 16,344.81

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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.