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Finding the Fourth Proportional to 18,495.26, 27,763.62 and 7,409.68

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Solution

The fourth proportional to 18,495.26, 27,763.62 and 7,409.68 is: 11,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495.26 : 27,763.62 = 7,409.68 : x
  2. Step 2: Convert to fraction form
    18,495.26/27,763.62 = 7,409.68/x
  3. Step 3: Cross multiply
    18,495.26x = 27,763.62 × 7,409.68
  4. Step 4: Simplify right side
    18,495.26x = 205,719,488.96
  5. Step 5: Solve for x
    x = 205,719,488.96/18,495.26
  6. Step 6: Final answer
    x = 11,122.82

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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.