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Finding the Fourth Proportional to 20,509.56, 30,768.18 and 6,656.76

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Solution

The fourth proportional to 20,509.56, 30,768.18 and 6,656.76 is: 9,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.56 : 30,768.18 = 6,656.76 : x
  2. Step 2: Convert to fraction form
    20,509.56/30,768.18 = 6,656.76/x
  3. Step 3: Cross multiply
    20,509.56x = 30,768.18 × 6,656.76
  4. Step 4: Simplify right side
    20,509.56x = 204,816,389.90
  5. Step 5: Solve for x
    x = 204,816,389.90/20,509.56
  6. Step 6: Final answer
    x = 9,986.39

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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.