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Finding the Fourth Proportional to 12,761.12, 19,141.68 and 11,828

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Solution

The fourth proportional to 12,761.12, 19,141.68 and 11,828 is: 17,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.12 : 19,141.68 = 11,828 : x
  2. Step 2: Convert to fraction form
    12,761.12/19,141.68 = 11,828/x
  3. Step 3: Cross multiply
    12,761.12x = 19,141.68 × 11,828
  4. Step 4: Simplify right side
    12,761.12x = 226,407,791.04
  5. Step 5: Solve for x
    x = 226,407,791.04/12,761.12
  6. Step 6: Final answer
    x = 17,742

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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.