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Finding the Fourth Proportional to 13,963.81, 19,269.57 and 7,676.14

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Solution

The fourth proportional to 13,963.81, 19,269.57 and 7,676.14 is: 10,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.81 : 19,269.57 = 7,676.14 : x
  2. Step 2: Convert to fraction form
    13,963.81/19,269.57 = 7,676.14/x
  3. Step 3: Cross multiply
    13,963.81x = 19,269.57 × 7,676.14
  4. Step 4: Simplify right side
    13,963.81x = 147,915,917.06
  5. Step 5: Solve for x
    x = 147,915,917.06/13,963.81
  6. Step 6: Final answer
    x = 10,592.81

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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.