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Finding the Fourth Proportional to 12,761.80, 19,142.70 and 9,481.30

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Solution

The fourth proportional to 12,761.80, 19,142.70 and 9,481.30 is: 14,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.80 : 19,142.70 = 9,481.30 : x
  2. Step 2: Convert to fraction form
    12,761.80/19,142.70 = 9,481.30/x
  3. Step 3: Cross multiply
    12,761.80x = 19,142.70 × 9,481.30
  4. Step 4: Simplify right side
    12,761.80x = 181,497,681.51
  5. Step 5: Solve for x
    x = 181,497,681.51/12,761.80
  6. Step 6: Final answer
    x = 14,221.95

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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.