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Finding the Fourth Proportional to 20,654.50, 30,983.62 and 6,614.90

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Solution

The fourth proportional to 20,654.50, 30,983.62 and 6,614.90 is: 9,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.50 : 30,983.62 = 6,614.90 : x
  2. Step 2: Convert to fraction form
    20,654.50/30,983.62 = 6,614.90/x
  3. Step 3: Cross multiply
    20,654.50x = 30,983.62 × 6,614.90
  4. Step 4: Simplify right side
    20,654.50x = 204,953,547.94
  5. Step 5: Solve for x
    x = 204,953,547.94/20,654.50
  6. Step 6: Final answer
    x = 9,922.95

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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.