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Finding the Fourth Proportional to 12,262.48, 16,927.31 and 8,288.98

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Solution

The fourth proportional to 12,262.48, 16,927.31 and 8,288.98 is: 11,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.48 : 16,927.31 = 8,288.98 : x
  2. Step 2: Convert to fraction form
    12,262.48/16,927.31 = 8,288.98/x
  3. Step 3: Cross multiply
    12,262.48x = 16,927.31 × 8,288.98
  4. Step 4: Simplify right side
    12,262.48x = 140,310,134.04
  5. Step 5: Solve for x
    x = 140,310,134.04/12,262.48
  6. Step 6: Final answer
    x = 11,442.23

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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.