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Finding the Fourth Proportional to 13,004.92, 19,507.28 and 6,761.71

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Solution

The fourth proportional to 13,004.92, 19,507.28 and 6,761.71 is: 10,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.92 : 19,507.28 = 6,761.71 : x
  2. Step 2: Convert to fraction form
    13,004.92/19,507.28 = 6,761.71/x
  3. Step 3: Cross multiply
    13,004.92x = 19,507.28 × 6,761.71
  4. Step 4: Simplify right side
    13,004.92x = 131,902,570.25
  5. Step 5: Solve for x
    x = 131,902,570.25/13,004.92
  6. Step 6: Final answer
    x = 10,142.51

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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.