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Finding the Fourth Proportional to 18,230.57, 27,329.70 and 7,145.21

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Solution

The fourth proportional to 18,230.57, 27,329.70 and 7,145.21 is: 10,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.57 : 27,329.70 = 7,145.21 : x
  2. Step 2: Convert to fraction form
    18,230.57/27,329.70 = 7,145.21/x
  3. Step 3: Cross multiply
    18,230.57x = 27,329.70 × 7,145.21
  4. Step 4: Simplify right side
    18,230.57x = 195,276,540.86
  5. Step 5: Solve for x
    x = 195,276,540.86/18,230.57
  6. Step 6: Final answer
    x = 10,711.49

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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.