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Finding the Fourth Proportional to 27,007.60, 40,511.40 and 20,446.60

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Solution

The fourth proportional to 27,007.60, 40,511.40 and 20,446.60 is: 30,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.60 : 40,511.40 = 20,446.60 : x
  2. Step 2: Convert to fraction form
    27,007.60/40,511.40 = 20,446.60/x
  3. Step 3: Cross multiply
    27,007.60x = 40,511.40 × 20,446.60
  4. Step 4: Simplify right side
    27,007.60x = 828,320,391.24
  5. Step 5: Solve for x
    x = 828,320,391.24/27,007.60
  6. Step 6: Final answer
    x = 30,669.90

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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.