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Finding the Fourth Proportional to 19,645.54, 29,471.55 and 7,966.78

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Solution

The fourth proportional to 19,645.54, 29,471.55 and 7,966.78 is: 11,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.54 : 29,471.55 = 7,966.78 : x
  2. Step 2: Convert to fraction form
    19,645.54/29,471.55 = 7,966.78/x
  3. Step 3: Cross multiply
    19,645.54x = 29,471.55 × 7,966.78
  4. Step 4: Simplify right side
    19,645.54x = 234,793,355.11
  5. Step 5: Solve for x
    x = 234,793,355.11/19,645.54
  6. Step 6: Final answer
    x = 11,951.48

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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.