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Finding the Fourth Proportional to 17,016.60, 23,483.82 and 9,947.16

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Solution

The fourth proportional to 17,016.60, 23,483.82 and 9,947.16 is: 13,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,016.60 : 23,483.82 = 9,947.16 : x
  2. Step 2: Convert to fraction form
    17,016.60/23,483.82 = 9,947.16/x
  3. Step 3: Cross multiply
    17,016.60x = 23,483.82 × 9,947.16
  4. Step 4: Simplify right side
    17,016.60x = 233,597,314.95
  5. Step 5: Solve for x
    x = 233,597,314.95/17,016.60
  6. Step 6: Final answer
    x = 13,727.61

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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.