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Finding the Fourth Proportional to 19,647.36, 29,478.24 and 7,961.76

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Solution

The fourth proportional to 19,647.36, 29,478.24 and 7,961.76 is: 11,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.36 : 29,478.24 = 7,961.76 : x
  2. Step 2: Convert to fraction form
    19,647.36/29,478.24 = 7,961.76/x
  3. Step 3: Cross multiply
    19,647.36x = 29,478.24 × 7,961.76
  4. Step 4: Simplify right side
    19,647.36x = 234,698,672.10
  5. Step 5: Solve for x
    x = 234,698,672.10/19,647.36
  6. Step 6: Final answer
    x = 11,945.56

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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.