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Finding the Fourth Proportional to 13,749.97, 18,965.16 and 12,619.28

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Solution

The fourth proportional to 13,749.97, 18,965.16 and 12,619.28 is: 17,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.97 : 18,965.16 = 12,619.28 : x
  2. Step 2: Convert to fraction form
    13,749.97/18,965.16 = 12,619.28/x
  3. Step 3: Cross multiply
    13,749.97x = 18,965.16 × 12,619.28
  4. Step 4: Simplify right side
    13,749.97x = 239,326,648.60
  5. Step 5: Solve for x
    x = 239,326,648.60/13,749.97
  6. Step 6: Final answer
    x = 17,405.61

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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.