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Finding the Fourth Proportional to 12,659.86, 17,465.25 and 8,469.46

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Solution

The fourth proportional to 12,659.86, 17,465.25 and 8,469.46 is: 11,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.86 : 17,465.25 = 8,469.46 : x
  2. Step 2: Convert to fraction form
    12,659.86/17,465.25 = 8,469.46/x
  3. Step 3: Cross multiply
    12,659.86x = 17,465.25 × 8,469.46
  4. Step 4: Simplify right side
    12,659.86x = 147,921,236.27
  5. Step 5: Solve for x
    x = 147,921,236.27/12,659.86
  6. Step 6: Final answer
    x = 11,684.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.