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Finding the Fourth Proportional to 12,669.14, 17,486.07 and 7,363.64

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Solution

The fourth proportional to 12,669.14, 17,486.07 and 7,363.64 is: 10,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.14 : 17,486.07 = 7,363.64 : x
  2. Step 2: Convert to fraction form
    12,669.14/17,486.07 = 7,363.64/x
  3. Step 3: Cross multiply
    12,669.14x = 17,486.07 × 7,363.64
  4. Step 4: Simplify right side
    12,669.14x = 128,761,124.49
  5. Step 5: Solve for x
    x = 128,761,124.49/12,669.14
  6. Step 6: Final answer
    x = 10,163.37

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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.