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Finding the Fourth Proportional to 14,046.44, 19,383.72 and 7,758.68

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Solution

The fourth proportional to 14,046.44, 19,383.72 and 7,758.68 is: 10,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.44 : 19,383.72 = 7,758.68 : x
  2. Step 2: Convert to fraction form
    14,046.44/19,383.72 = 7,758.68/x
  3. Step 3: Cross multiply
    14,046.44x = 19,383.72 × 7,758.68
  4. Step 4: Simplify right side
    14,046.44x = 150,392,080.69
  5. Step 5: Solve for x
    x = 150,392,080.69/14,046.44
  6. Step 6: Final answer
    x = 10,706.78

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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.