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Finding the Fourth Proportional to 20,138.04, 27,794.12 and 11,639

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Solution

The fourth proportional to 20,138.04, 27,794.12 and 11,639 is: 16,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.04 : 27,794.12 = 11,639 : x
  2. Step 2: Convert to fraction form
    20,138.04/27,794.12 = 11,639/x
  3. Step 3: Cross multiply
    20,138.04x = 27,794.12 × 11,639
  4. Step 4: Simplify right side
    20,138.04x = 323,495,762.68
  5. Step 5: Solve for x
    x = 323,495,762.68/20,138.04
  6. Step 6: Final answer
    x = 16,063.91

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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.