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Finding the Fourth Proportional to 20,793.53, 31,206.67 and 9,694.50

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Solution

The fourth proportional to 20,793.53, 31,206.67 and 9,694.50 is: 14,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.53 : 31,206.67 = 9,694.50 : x
  2. Step 2: Convert to fraction form
    20,793.53/31,206.67 = 9,694.50/x
  3. Step 3: Cross multiply
    20,793.53x = 31,206.67 × 9,694.50
  4. Step 4: Simplify right side
    20,793.53x = 302,533,062.32
  5. Step 5: Solve for x
    x = 302,533,062.32/20,793.53
  6. Step 6: Final answer
    x = 14,549.38

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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.