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Finding the Fourth Proportional to 16,733, 23,091.58 and 9,282.44

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Solution

The fourth proportional to 16,733, 23,091.58 and 9,282.44 is: 12,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733 : 23,091.58 = 9,282.44 : x
  2. Step 2: Convert to fraction form
    16,733/23,091.58 = 9,282.44/x
  3. Step 3: Cross multiply
    16,733x = 23,091.58 × 9,282.44
  4. Step 4: Simplify right side
    16,733x = 214,346,205.86
  5. Step 5: Solve for x
    x = 214,346,205.86/16,733
  6. Step 6: Final answer
    x = 12,809.79

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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.