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Finding the Fourth Proportional to 17,230.12, 23,777.60 and 9,778.12

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Solution

The fourth proportional to 17,230.12, 23,777.60 and 9,778.12 is: 13,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.12 : 23,777.60 = 9,778.12 : x
  2. Step 2: Convert to fraction form
    17,230.12/23,777.60 = 9,778.12/x
  3. Step 3: Cross multiply
    17,230.12x = 23,777.60 × 9,778.12
  4. Step 4: Simplify right side
    17,230.12x = 232,500,226.11
  5. Step 5: Solve for x
    x = 232,500,226.11/17,230.12
  6. Step 6: Final answer
    x = 13,493.83

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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.