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Finding the Fourth Proportional to 20,506.77, 30,738.29 and 8,658.09

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Solution

The fourth proportional to 20,506.77, 30,738.29 and 8,658.09 is: 12,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.77 : 30,738.29 = 8,658.09 : x
  2. Step 2: Convert to fraction form
    20,506.77/30,738.29 = 8,658.09/x
  3. Step 3: Cross multiply
    20,506.77x = 30,738.29 × 8,658.09
  4. Step 4: Simplify right side
    20,506.77x = 266,134,837.98
  5. Step 5: Solve for x
    x = 266,134,837.98/20,506.77
  6. Step 6: Final answer
    x = 12,977.90

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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.