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Finding the Fourth Proportional to 20,324.12, 30,497.84 and 10,964.12

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Solution

The fourth proportional to 20,324.12, 30,497.84 and 10,964.12 is: 16,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.12 : 30,497.84 = 10,964.12 : x
  2. Step 2: Convert to fraction form
    20,324.12/30,497.84 = 10,964.12/x
  3. Step 3: Cross multiply
    20,324.12x = 30,497.84 × 10,964.12
  4. Step 4: Simplify right side
    20,324.12x = 334,381,977.50
  5. Step 5: Solve for x
    x = 334,381,977.50/20,324.12
  6. Step 6: Final answer
    x = 16,452.47

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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.