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Finding the Fourth Proportional to 12,800.37, 17,664.89 and 7,494.69

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Solution

The fourth proportional to 12,800.37, 17,664.89 and 7,494.69 is: 10,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.37 : 17,664.89 = 7,494.69 : x
  2. Step 2: Convert to fraction form
    12,800.37/17,664.89 = 7,494.69/x
  3. Step 3: Cross multiply
    12,800.37x = 17,664.89 × 7,494.69
  4. Step 4: Simplify right side
    12,800.37x = 132,392,836.96
  5. Step 5: Solve for x
    x = 132,392,836.96/12,800.37
  6. Step 6: Final answer
    x = 10,342.89

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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.