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Finding the Fourth Proportional to 19,654.60, 29,471.10 and 8,407.24

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Solution

The fourth proportional to 19,654.60, 29,471.10 and 8,407.24 is: 12,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.60 : 29,471.10 = 8,407.24 : x
  2. Step 2: Convert to fraction form
    19,654.60/29,471.10 = 8,407.24/x
  3. Step 3: Cross multiply
    19,654.60x = 29,471.10 × 8,407.24
  4. Step 4: Simplify right side
    19,654.60x = 247,770,610.76
  5. Step 5: Solve for x
    x = 247,770,610.76/19,654.60
  6. Step 6: Final answer
    x = 12,606.24

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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.