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Finding the Fourth Proportional to 22,164.31, 30,586.16 and 12,092.75

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Solution

The fourth proportional to 22,164.31, 30,586.16 and 12,092.75 is: 16,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.31 : 30,586.16 = 12,092.75 : x
  2. Step 2: Convert to fraction form
    22,164.31/30,586.16 = 12,092.75/x
  3. Step 3: Cross multiply
    22,164.31x = 30,586.16 × 12,092.75
  4. Step 4: Simplify right side
    22,164.31x = 369,870,905.12
  5. Step 5: Solve for x
    x = 369,870,905.12/22,164.31
  6. Step 6: Final answer
    x = 16,687.68

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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.