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Finding the Fourth Proportional to 16,283.53, 22,474.78 and 9,912.17

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Solution

The fourth proportional to 16,283.53, 22,474.78 and 9,912.17 is: 13,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.53 : 22,474.78 = 9,912.17 : x
  2. Step 2: Convert to fraction form
    16,283.53/22,474.78 = 9,912.17/x
  3. Step 3: Cross multiply
    16,283.53x = 22,474.78 × 9,912.17
  4. Step 4: Simplify right side
    16,283.53x = 222,773,840.07
  5. Step 5: Solve for x
    x = 222,773,840.07/16,283.53
  6. Step 6: Final answer
    x = 13,680.93

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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.