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Finding the Fourth Proportional to 17,665.32, 26,454.78 and 8,409

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Solution

The fourth proportional to 17,665.32, 26,454.78 and 8,409 is: 12,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.32 : 26,454.78 = 8,409 : x
  2. Step 2: Convert to fraction form
    17,665.32/26,454.78 = 8,409/x
  3. Step 3: Cross multiply
    17,665.32x = 26,454.78 × 8,409
  4. Step 4: Simplify right side
    17,665.32x = 222,458,245.02
  5. Step 5: Solve for x
    x = 222,458,245.02/17,665.32
  6. Step 6: Final answer
    x = 12,592.94

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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.