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Finding the Fourth Proportional to 12,661.32, 17,449.42 and 8,404.86

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Solution

The fourth proportional to 12,661.32, 17,449.42 and 8,404.86 is: 11,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.32 : 17,449.42 = 8,404.86 : x
  2. Step 2: Convert to fraction form
    12,661.32/17,449.42 = 8,404.86/x
  3. Step 3: Cross multiply
    12,661.32x = 17,449.42 × 8,404.86
  4. Step 4: Simplify right side
    12,661.32x = 146,659,932.18
  5. Step 5: Solve for x
    x = 146,659,932.18/12,661.32
  6. Step 6: Final answer
    x = 11,583.31

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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.