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Finding the Fourth Proportional to 20,132.60, 27,785.70 and 12,175.16

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Solution

The fourth proportional to 20,132.60, 27,785.70 and 12,175.16 is: 16,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.60 : 27,785.70 = 12,175.16 : x
  2. Step 2: Convert to fraction form
    20,132.60/27,785.70 = 12,175.16/x
  3. Step 3: Cross multiply
    20,132.60x = 27,785.70 × 12,175.16
  4. Step 4: Simplify right side
    20,132.60x = 338,295,343.21
  5. Step 5: Solve for x
    x = 338,295,343.21/20,132.60
  6. Step 6: Final answer
    x = 16,803.36

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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.