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Finding the Fourth Proportional to 20,085.40, 30,128.10 and 12,309.40

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Solution

The fourth proportional to 20,085.40, 30,128.10 and 12,309.40 is: 18,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.40 : 30,128.10 = 12,309.40 : x
  2. Step 2: Convert to fraction form
    20,085.40/30,128.10 = 12,309.40/x
  3. Step 3: Cross multiply
    20,085.40x = 30,128.10 × 12,309.40
  4. Step 4: Simplify right side
    20,085.40x = 370,858,834.14
  5. Step 5: Solve for x
    x = 370,858,834.14/20,085.40
  6. Step 6: Final answer
    x = 18,464.10

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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.