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Finding the Fourth Proportional to 18,340.44, 27,522 and 7,245.24

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Solution

The fourth proportional to 18,340.44, 27,522 and 7,245.24 is: 10,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340.44 : 27,522 = 7,245.24 : x
  2. Step 2: Convert to fraction form
    18,340.44/27,522 = 7,245.24/x
  3. Step 3: Cross multiply
    18,340.44x = 27,522 × 7,245.24
  4. Step 4: Simplify right side
    18,340.44x = 199,403,495.28
  5. Step 5: Solve for x
    x = 199,403,495.28/18,340.44
  6. Step 6: Final answer
    x = 10,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.