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Finding the Fourth Proportional to 14,046.20, 19,383.87 and 7,758.57

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Solution

The fourth proportional to 14,046.20, 19,383.87 and 7,758.57 is: 10,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.20 : 19,383.87 = 7,758.57 : x
  2. Step 2: Convert to fraction form
    14,046.20/19,383.87 = 7,758.57/x
  3. Step 3: Cross multiply
    14,046.20x = 19,383.87 × 7,758.57
  4. Step 4: Simplify right side
    14,046.20x = 150,391,112.27
  5. Step 5: Solve for x
    x = 150,391,112.27/14,046.20
  6. Step 6: Final answer
    x = 10,706.89

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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.