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Finding the Fourth Proportional to 12,253.50, 18,351 and 7,048.44

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Solution

The fourth proportional to 12,253.50, 18,351 and 7,048.44 is: 10,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.50 : 18,351 = 7,048.44 : x
  2. Step 2: Convert to fraction form
    12,253.50/18,351 = 7,048.44/x
  3. Step 3: Cross multiply
    12,253.50x = 18,351 × 7,048.44
  4. Step 4: Simplify right side
    12,253.50x = 129,345,922.44
  5. Step 5: Solve for x
    x = 129,345,922.44/12,253.50
  6. Step 6: Final answer
    x = 10,555.83

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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.