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Finding the Fourth Proportional to 12,800.62, 17,665.23 and 7,494.94

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Solution

The fourth proportional to 12,800.62, 17,665.23 and 7,494.94 is: 10,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.62 : 17,665.23 = 7,494.94 : x
  2. Step 2: Convert to fraction form
    12,800.62/17,665.23 = 7,494.94/x
  3. Step 3: Cross multiply
    12,800.62x = 17,665.23 × 7,494.94
  4. Step 4: Simplify right side
    12,800.62x = 132,399,838.94
  5. Step 5: Solve for x
    x = 132,399,838.94/12,800.62
  6. Step 6: Final answer
    x = 10,343.24

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