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Finding the Fourth Proportional to 17,643.98, 26,453.01 and 8,416.46

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Solution

The fourth proportional to 17,643.98, 26,453.01 and 8,416.46 is: 12,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.98 : 26,453.01 = 8,416.46 : x
  2. Step 2: Convert to fraction form
    17,643.98/26,453.01 = 8,416.46/x
  3. Step 3: Cross multiply
    17,643.98x = 26,453.01 × 8,416.46
  4. Step 4: Simplify right side
    17,643.98x = 222,640,700.54
  5. Step 5: Solve for x
    x = 222,640,700.54/17,643.98
  6. Step 6: Final answer
    x = 12,618.51

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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.