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Finding the Fourth Proportional to 16,965.06, 23,412.57 and 9,412.23

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Solution

The fourth proportional to 16,965.06, 23,412.57 and 9,412.23 is: 12,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.06 : 23,412.57 = 9,412.23 : x
  2. Step 2: Convert to fraction form
    16,965.06/23,412.57 = 9,412.23/x
  3. Step 3: Cross multiply
    16,965.06x = 23,412.57 × 9,412.23
  4. Step 4: Simplify right side
    16,965.06x = 220,364,493.73
  5. Step 5: Solve for x
    x = 220,364,493.73/16,965.06
  6. Step 6: Final answer
    x = 12,989.31

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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.