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Finding the Fourth Proportional to 12,270.69, 16,927.85 and 7,231.48

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Solution

The fourth proportional to 12,270.69, 16,927.85 and 7,231.48 is: 9,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.69 : 16,927.85 = 7,231.48 : x
  2. Step 2: Convert to fraction form
    12,270.69/16,927.85 = 7,231.48/x
  3. Step 3: Cross multiply
    12,270.69x = 16,927.85 × 7,231.48
  4. Step 4: Simplify right side
    12,270.69x = 122,413,384.48
  5. Step 5: Solve for x
    x = 122,413,384.48/12,270.69
  6. Step 6: Final answer
    x = 9,976.08

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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.