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Finding the Fourth Proportional to 22,674.50, 34,012.10 and 8,635.31

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Solution

The fourth proportional to 22,674.50, 34,012.10 and 8,635.31 is: 12,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.50 : 34,012.10 = 8,635.31 : x
  2. Step 2: Convert to fraction form
    22,674.50/34,012.10 = 8,635.31/x
  3. Step 3: Cross multiply
    22,674.50x = 34,012.10 × 8,635.31
  4. Step 4: Simplify right side
    22,674.50x = 293,704,973.94
  5. Step 5: Solve for x
    x = 293,704,973.94/22,674.50
  6. Step 6: Final answer
    x = 12,953.09

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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.