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Finding the Fourth Proportional to 18,184.14, 25,094.49 and 11,114.46

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Solution

The fourth proportional to 18,184.14, 25,094.49 and 11,114.46 is: 15,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,184.14 : 25,094.49 = 11,114.46 : x
  2. Step 2: Convert to fraction form
    18,184.14/25,094.49 = 11,114.46/x
  3. Step 3: Cross multiply
    18,184.14x = 25,094.49 × 11,114.46
  4. Step 4: Simplify right side
    18,184.14x = 278,911,705.33
  5. Step 5: Solve for x
    x = 278,911,705.33/18,184.14
  6. Step 6: Final answer
    x = 15,338.19

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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.