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Finding the Fourth Proportional to 19,647.56, 29,471.34 and 7,960.78

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Solution

The fourth proportional to 19,647.56, 29,471.34 and 7,960.78 is: 11,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.56 : 29,471.34 = 7,960.78 : x
  2. Step 2: Convert to fraction form
    19,647.56/29,471.34 = 7,960.78/x
  3. Step 3: Cross multiply
    19,647.56x = 29,471.34 × 7,960.78
  4. Step 4: Simplify right side
    19,647.56x = 234,614,920.74
  5. Step 5: Solve for x
    x = 234,614,920.74/19,647.56
  6. Step 6: Final answer
    x = 11,941.17

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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.