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Finding the Fourth Proportional to 18,227.94, 27,344.19 and 7,133.20

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Solution

The fourth proportional to 18,227.94, 27,344.19 and 7,133.20 is: 10,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.94 : 27,344.19 = 7,133.20 : x
  2. Step 2: Convert to fraction form
    18,227.94/27,344.19 = 7,133.20/x
  3. Step 3: Cross multiply
    18,227.94x = 27,344.19 × 7,133.20
  4. Step 4: Simplify right side
    18,227.94x = 195,051,534.50
  5. Step 5: Solve for x
    x = 195,051,534.50/18,227.94
  6. Step 6: Final answer
    x = 10,700.69

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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.