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Finding the Fourth Proportional to 12,456.96, 18,698.40 and 8,523.60

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Solution

The fourth proportional to 12,456.96, 18,698.40 and 8,523.60 is: 12,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.96 : 18,698.40 = 8,523.60 : x
  2. Step 2: Convert to fraction form
    12,456.96/18,698.40 = 8,523.60/x
  3. Step 3: Cross multiply
    12,456.96x = 18,698.40 × 8,523.60
  4. Step 4: Simplify right side
    12,456.96x = 159,377,682.24
  5. Step 5: Solve for x
    x = 159,377,682.24/12,456.96
  6. Step 6: Final answer
    x = 12,794.27

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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.