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Finding the Fourth Proportional to 20,509.76, 30,767.20 and 8,028.17

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Solution

The fourth proportional to 20,509.76, 30,767.20 and 8,028.17 is: 12,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.76 : 30,767.20 = 8,028.17 : x
  2. Step 2: Convert to fraction form
    20,509.76/30,767.20 = 8,028.17/x
  3. Step 3: Cross multiply
    20,509.76x = 30,767.20 × 8,028.17
  4. Step 4: Simplify right side
    20,509.76x = 247,004,312.02
  5. Step 5: Solve for x
    x = 247,004,312.02/20,509.76
  6. Step 6: Final answer
    x = 12,043.26

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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.