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Finding the Fourth Proportional to 19,653.60, 29,469.60 and 8,406.24

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Solution

The fourth proportional to 19,653.60, 29,469.60 and 8,406.24 is: 12,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.60 : 29,469.60 = 8,406.24 : x
  2. Step 2: Convert to fraction form
    19,653.60/29,469.60 = 8,406.24/x
  3. Step 3: Cross multiply
    19,653.60x = 29,469.60 × 8,406.24
  4. Step 4: Simplify right side
    19,653.60x = 247,728,530.30
  5. Step 5: Solve for x
    x = 247,728,530.30/19,653.60
  6. Step 6: Final answer
    x = 12,604.74

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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.