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Finding the Fourth Proportional to 12,800.87, 17,665.12 and 7,494.62

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Solution

The fourth proportional to 12,800.87, 17,665.12 and 7,494.62 is: 10,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.87 : 17,665.12 = 7,494.62 : x
  2. Step 2: Convert to fraction form
    12,800.87/17,665.12 = 7,494.62/x
  3. Step 3: Cross multiply
    12,800.87x = 17,665.12 × 7,494.62
  4. Step 4: Simplify right side
    12,800.87x = 132,393,254.59
  5. Step 5: Solve for x
    x = 132,393,254.59/12,800.87
  6. Step 6: Final answer
    x = 10,342.52

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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.