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Finding the Fourth Proportional to 14,654.31, 20,222.91 and 7,940.10

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Solution

The fourth proportional to 14,654.31, 20,222.91 and 7,940.10 is: 10,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.31 : 20,222.91 = 7,940.10 : x
  2. Step 2: Convert to fraction form
    14,654.31/20,222.91 = 7,940.10/x
  3. Step 3: Cross multiply
    14,654.31x = 20,222.91 × 7,940.10
  4. Step 4: Simplify right side
    14,654.31x = 160,571,927.69
  5. Step 5: Solve for x
    x = 160,571,927.69/14,654.31
  6. Step 6: Final answer
    x = 10,957.32

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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.