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Finding the Fourth Proportional to 20,934.69, 31,359.61 and 9,674.02

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Solution

The fourth proportional to 20,934.69, 31,359.61 and 9,674.02 is: 14,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934.69 : 31,359.61 = 9,674.02 : x
  2. Step 2: Convert to fraction form
    20,934.69/31,359.61 = 9,674.02/x
  3. Step 3: Cross multiply
    20,934.69x = 31,359.61 × 9,674.02
  4. Step 4: Simplify right side
    20,934.69x = 303,373,545.62
  5. Step 5: Solve for x
    x = 303,373,545.62/20,934.69
  6. Step 6: Final answer
    x = 14,491.43

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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.