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Finding the Fourth Proportional to 20,269.80, 27,973 and 11,317.40

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Solution

The fourth proportional to 20,269.80, 27,973 and 11,317.40 is: 15,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.80 : 27,973 = 11,317.40 : x
  2. Step 2: Convert to fraction form
    20,269.80/27,973 = 11,317.40/x
  3. Step 3: Cross multiply
    20,269.80x = 27,973 × 11,317.40
  4. Step 4: Simplify right side
    20,269.80x = 316,581,630.20
  5. Step 5: Solve for x
    x = 316,581,630.20/20,269.80
  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.