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Finding the Fourth Proportional to 16,808.80, 23,194.08 and 9,733.76

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Solution

The fourth proportional to 16,808.80, 23,194.08 and 9,733.76 is: 13,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.80 : 23,194.08 = 9,733.76 : x
  2. Step 2: Convert to fraction form
    16,808.80/23,194.08 = 9,733.76/x
  3. Step 3: Cross multiply
    16,808.80x = 23,194.08 × 9,733.76
  4. Step 4: Simplify right side
    16,808.80x = 225,765,608.14
  5. Step 5: Solve for x
    x = 225,765,608.14/16,808.80
  6. Step 6: Final answer
    x = 13,431.39

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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.