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Finding the Fourth Proportional to 20,975.30, 31,434.99 and 7,814.42

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Solution

The fourth proportional to 20,975.30, 31,434.99 and 7,814.42 is: 11,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.30 : 31,434.99 = 7,814.42 : x
  2. Step 2: Convert to fraction form
    20,975.30/31,434.99 = 7,814.42/x
  3. Step 3: Cross multiply
    20,975.30x = 31,434.99 × 7,814.42
  4. Step 4: Simplify right side
    20,975.30x = 245,646,214.56
  5. Step 5: Solve for x
    x = 245,646,214.56/20,975.30
  6. Step 6: Final answer
    x = 11,711.21

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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.