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Finding the Fourth Proportional to 12,770.50, 17,623.38 and 7,181.50

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Solution

The fourth proportional to 12,770.50, 17,623.38 and 7,181.50 is: 9,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.50 : 17,623.38 = 7,181.50 : x
  2. Step 2: Convert to fraction form
    12,770.50/17,623.38 = 7,181.50/x
  3. Step 3: Cross multiply
    12,770.50x = 17,623.38 × 7,181.50
  4. Step 4: Simplify right side
    12,770.50x = 126,562,303.47
  5. Step 5: Solve for x
    x = 126,562,303.47/12,770.50
  6. Step 6: Final answer
    x = 9,910.52

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Why These Related Problems?

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