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Finding the Fourth Proportional to 18,536.24, 25,579 and 10,983.27

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Solution

The fourth proportional to 18,536.24, 25,579 and 10,983.27 is: 15,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.24 : 25,579 = 10,983.27 : x
  2. Step 2: Convert to fraction form
    18,536.24/25,579 = 10,983.27/x
  3. Step 3: Cross multiply
    18,536.24x = 25,579 × 10,983.27
  4. Step 4: Simplify right side
    18,536.24x = 280,941,063.33
  5. Step 5: Solve for x
    x = 280,941,063.33/18,536.24
  6. Step 6: Final answer
    x = 15,156.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.