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Finding the Fourth Proportional to 12,761.82, 19,133.55 and 6,440.65

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Solution

The fourth proportional to 12,761.82, 19,133.55 and 6,440.65 is: 9,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.82 : 19,133.55 = 6,440.65 : x
  2. Step 2: Convert to fraction form
    12,761.82/19,133.55 = 6,440.65/x
  3. Step 3: Cross multiply
    12,761.82x = 19,133.55 × 6,440.65
  4. Step 4: Simplify right side
    12,761.82x = 123,232,450.97
  5. Step 5: Solve for x
    x = 123,232,450.97/12,761.82
  6. Step 6: Final answer
    x = 9,656.34

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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.