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Finding the Fourth Proportional to 14,654.78, 20,223.56 and 7,940.57

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Solution

The fourth proportional to 14,654.78, 20,223.56 and 7,940.57 is: 10,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.78 : 20,223.56 = 7,940.57 : x
  2. Step 2: Convert to fraction form
    14,654.78/20,223.56 = 7,940.57/x
  3. Step 3: Cross multiply
    14,654.78x = 20,223.56 × 7,940.57
  4. Step 4: Simplify right side
    14,654.78x = 160,586,664.24
  5. Step 5: Solve for x
    x = 160,586,664.24/14,654.78
  6. Step 6: Final answer
    x = 10,957.98

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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.