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Finding the Fourth Proportional to 13,171.64, 19,761.50 and 5,274.14

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Solution

The fourth proportional to 13,171.64, 19,761.50 and 5,274.14 is: 7,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.64 : 19,761.50 = 5,274.14 : x
  2. Step 2: Convert to fraction form
    13,171.64/19,761.50 = 5,274.14/x
  3. Step 3: Cross multiply
    13,171.64x = 19,761.50 × 5,274.14
  4. Step 4: Simplify right side
    13,171.64x = 104,224,917.61
  5. Step 5: Solve for x
    x = 104,224,917.61/13,171.64
  6. Step 6: Final answer
    x = 7,912.83

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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.