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Finding the Fourth Proportional to 12,800.98, 17,665.38 and 7,424.45

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Solution

The fourth proportional to 12,800.98, 17,665.38 and 7,424.45 is: 10,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.98 : 17,665.38 = 7,424.45 : x
  2. Step 2: Convert to fraction form
    12,800.98/17,665.38 = 7,424.45/x
  3. Step 3: Cross multiply
    12,800.98x = 17,665.38 × 7,424.45
  4. Step 4: Simplify right side
    12,800.98x = 131,155,736.30
  5. Step 5: Solve for x
    x = 131,155,736.30/12,800.98
  6. Step 6: Final answer
    x = 10,245.76

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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.