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Finding the Fourth Proportional to 20,267.10, 27,969.05 and 11,314.17

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Solution

The fourth proportional to 20,267.10, 27,969.05 and 11,314.17 is: 15,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.10 : 27,969.05 = 11,314.17 : x
  2. Step 2: Convert to fraction form
    20,267.10/27,969.05 = 11,314.17/x
  3. Step 3: Cross multiply
    20,267.10x = 27,969.05 × 11,314.17
  4. Step 4: Simplify right side
    20,267.10x = 316,446,529.87
  5. Step 5: Solve for x
    x = 316,446,529.87/20,267.10
  6. Step 6: Final answer
    x = 15,613.80

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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.