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Finding the Fourth Proportional to 20,509.68, 30,769.92 and 6,470.22

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Solution

The fourth proportional to 20,509.68, 30,769.92 and 6,470.22 is: 9,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.68 : 30,769.92 = 6,470.22 : x
  2. Step 2: Convert to fraction form
    20,509.68/30,769.92 = 6,470.22/x
  3. Step 3: Cross multiply
    20,509.68x = 30,769.92 × 6,470.22
  4. Step 4: Simplify right side
    20,509.68x = 199,088,151.78
  5. Step 5: Solve for x
    x = 199,088,151.78/20,509.68
  6. Step 6: Final answer
    x = 9,707.03

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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.