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Finding the Fourth Proportional to 20,269.79, 27,972.99 and 11,317.40

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Solution

The fourth proportional to 20,269.79, 27,972.99 and 11,317.40 is: 15,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.79 : 27,972.99 = 11,317.40 : x
  2. Step 2: Convert to fraction form
    20,269.79/27,972.99 = 11,317.40/x
  3. Step 3: Cross multiply
    20,269.79x = 27,972.99 × 11,317.40
  4. Step 4: Simplify right side
    20,269.79x = 316,581,517.03
  5. Step 5: Solve for x
    x = 316,581,517.03/20,269.79
  6. Step 6: Final answer
    x = 15,618.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.