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Finding the Fourth Proportional to 12,159.77, 18,238.97 and 3,394.69

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Solution

The fourth proportional to 12,159.77, 18,238.97 and 3,394.69 is: 5,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.77 : 18,238.97 = 3,394.69 : x
  2. Step 2: Convert to fraction form
    12,159.77/18,238.97 = 3,394.69/x
  3. Step 3: Cross multiply
    12,159.77x = 18,238.97 × 3,394.69
  4. Step 4: Simplify right side
    12,159.77x = 61,915,649.07
  5. Step 5: Solve for x
    x = 61,915,649.07/12,159.77
  6. Step 6: Final answer
    x = 5,091.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.