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Finding the Fourth Proportional to 16,732.80, 23,093.44 and 9,659.12

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Solution

The fourth proportional to 16,732.80, 23,093.44 and 9,659.12 is: 13,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.80 : 23,093.44 = 9,659.12 : x
  2. Step 2: Convert to fraction form
    16,732.80/23,093.44 = 9,659.12/x
  3. Step 3: Cross multiply
    16,732.80x = 23,093.44 × 9,659.12
  4. Step 4: Simplify right side
    16,732.80x = 223,062,308.17
  5. Step 5: Solve for x
    x = 223,062,308.17/16,732.80
  6. Step 6: Final answer
    x = 13,330.84

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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.