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Finding the Fourth Proportional to 14,654.14, 21,983.91 and 4,793.97

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Solution

The fourth proportional to 14,654.14, 21,983.91 and 4,793.97 is: 7,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.14 : 21,983.91 = 4,793.97 : x
  2. Step 2: Convert to fraction form
    14,654.14/21,983.91 = 4,793.97/x
  3. Step 3: Cross multiply
    14,654.14x = 21,983.91 × 4,793.97
  4. Step 4: Simplify right side
    14,654.14x = 105,390,205.02
  5. Step 5: Solve for x
    x = 105,390,205.02/14,654.14
  6. Step 6: Final answer
    x = 7,191.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.