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Finding the Fourth Proportional to 12,761.66, 19,143.48 and 3,996.50

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Solution

The fourth proportional to 12,761.66, 19,143.48 and 3,996.50 is: 5,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.66 : 19,143.48 = 3,996.50 : x
  2. Step 2: Convert to fraction form
    12,761.66/19,143.48 = 3,996.50/x
  3. Step 3: Cross multiply
    12,761.66x = 19,143.48 × 3,996.50
  4. Step 4: Simplify right side
    12,761.66x = 76,506,917.82
  5. Step 5: Solve for x
    x = 76,506,917.82/12,761.66
  6. Step 6: Final answer
    x = 5,995.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.