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Finding the Fourth Proportional to 12,277.85, 16,942.65 and 7,242.27

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Solution

The fourth proportional to 12,277.85, 16,942.65 and 7,242.27 is: 9,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.85 : 16,942.65 = 7,242.27 : x
  2. Step 2: Convert to fraction form
    12,277.85/16,942.65 = 7,242.27/x
  3. Step 3: Cross multiply
    12,277.85x = 16,942.65 × 7,242.27
  4. Step 4: Simplify right side
    12,277.85x = 122,703,245.82
  5. Step 5: Solve for x
    x = 122,703,245.82/12,277.85
  6. Step 6: Final answer
    x = 9,993.87

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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.