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Finding the Fourth Proportional to 18,525.80, 27,788.67 and 4,674.80

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Solution

The fourth proportional to 18,525.80, 27,788.67 and 4,674.80 is: 7,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.80 : 27,788.67 = 4,674.80 : x
  2. Step 2: Convert to fraction form
    18,525.80/27,788.67 = 4,674.80/x
  3. Step 3: Cross multiply
    18,525.80x = 27,788.67 × 4,674.80
  4. Step 4: Simplify right side
    18,525.80x = 129,906,474.52
  5. Step 5: Solve for x
    x = 129,906,474.52/18,525.80
  6. Step 6: Final answer
    x = 7,012.19

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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.