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Finding the Fourth Proportional to 18,357.25, 27,537.24 and 5,210.68

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Solution

The fourth proportional to 18,357.25, 27,537.24 and 5,210.68 is: 7,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.25 : 27,537.24 = 5,210.68 : x
  2. Step 2: Convert to fraction form
    18,357.25/27,537.24 = 5,210.68/x
  3. Step 3: Cross multiply
    18,357.25x = 27,537.24 × 5,210.68
  4. Step 4: Simplify right side
    18,357.25x = 143,487,745.72
  5. Step 5: Solve for x
    x = 143,487,745.72/18,357.25
  6. Step 6: Final answer
    x = 7,816.41

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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.