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Finding the Fourth Proportional to 20,172.08, 27,830.08 and 12,211.40

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Solution

The fourth proportional to 20,172.08, 27,830.08 and 12,211.40 is: 16,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.08 : 27,830.08 = 12,211.40 : x
  2. Step 2: Convert to fraction form
    20,172.08/27,830.08 = 12,211.40/x
  3. Step 3: Cross multiply
    20,172.08x = 27,830.08 × 12,211.40
  4. Step 4: Simplify right side
    20,172.08x = 339,844,238.91
  5. Step 5: Solve for x
    x = 339,844,238.91/20,172.08
  6. Step 6: Final answer
    x = 16,847.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.