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Finding the Fourth Proportional to 17,230.14, 23,777.61 and 9,778.14

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Solution

The fourth proportional to 17,230.14, 23,777.61 and 9,778.14 is: 13,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.14 : 23,777.61 = 9,778.14 : x
  2. Step 2: Convert to fraction form
    17,230.14/23,777.61 = 9,778.14/x
  3. Step 3: Cross multiply
    17,230.14x = 23,777.61 × 9,778.14
  4. Step 4: Simplify right side
    17,230.14x = 232,500,799.45
  5. Step 5: Solve for x
    x = 232,500,799.45/17,230.14
  6. Step 6: Final answer
    x = 13,493.84

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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.