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Finding the Fourth Proportional to 20,078.08, 27,708.72 and 12,120.16

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Solution

The fourth proportional to 20,078.08, 27,708.72 and 12,120.16 is: 16,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.08 : 27,708.72 = 12,120.16 : x
  2. Step 2: Convert to fraction form
    20,078.08/27,708.72 = 12,120.16/x
  3. Step 3: Cross multiply
    20,078.08x = 27,708.72 × 12,120.16
  4. Step 4: Simplify right side
    20,078.08x = 335,834,119.80
  5. Step 5: Solve for x
    x = 335,834,119.80/20,078.08
  6. Step 6: Final answer
    x = 16,726.41

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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.