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Finding the Fourth Proportional to 20,793.06, 31,200.02 and 9,700.62

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Solution

The fourth proportional to 20,793.06, 31,200.02 and 9,700.62 is: 14,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.06 : 31,200.02 = 9,700.62 : x
  2. Step 2: Convert to fraction form
    20,793.06/31,200.02 = 9,700.62/x
  3. Step 3: Cross multiply
    20,793.06x = 31,200.02 × 9,700.62
  4. Step 4: Simplify right side
    20,793.06x = 302,659,489.51
  5. Step 5: Solve for x
    x = 302,659,489.51/20,793.06
  6. Step 6: Final answer
    x = 14,555.79

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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.