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Finding the Fourth Proportional to 20,103.40, 27,740.22 and 12,146.20

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Solution

The fourth proportional to 20,103.40, 27,740.22 and 12,146.20 is: 16,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.40 : 27,740.22 = 12,146.20 : x
  2. Step 2: Convert to fraction form
    20,103.40/27,740.22 = 12,146.20/x
  3. Step 3: Cross multiply
    20,103.40x = 27,740.22 × 12,146.20
  4. Step 4: Simplify right side
    20,103.40x = 336,938,260.16
  5. Step 5: Solve for x
    x = 336,938,260.16/20,103.40
  6. Step 6: Final answer
    x = 16,760.26

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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.