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Finding the Fourth Proportional to 20,509.94, 30,744.36 and 8,012.72

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Solution

The fourth proportional to 20,509.94, 30,744.36 and 8,012.72 is: 12,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.94 : 30,744.36 = 8,012.72 : x
  2. Step 2: Convert to fraction form
    20,509.94/30,744.36 = 8,012.72/x
  3. Step 3: Cross multiply
    20,509.94x = 30,744.36 × 8,012.72
  4. Step 4: Simplify right side
    20,509.94x = 246,345,948.26
  5. Step 5: Solve for x
    x = 246,345,948.26/20,509.94
  6. Step 6: Final answer
    x = 12,011.05

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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.