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Finding the Fourth Proportional to 20,394, 28,143.32 and 11,441.44

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Solution

The fourth proportional to 20,394, 28,143.32 and 11,441.44 is: 15,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 28,143.32 = 11,441.44 : x
  2. Step 2: Convert to fraction form
    20,394/28,143.32 = 11,441.44/x
  3. Step 3: Cross multiply
    20,394x = 28,143.32 × 11,441.44
  4. Step 4: Simplify right side
    20,394x = 322,000,107.18
  5. Step 5: Solve for x
    x = 322,000,107.18/20,394
  6. Step 6: Final answer
    x = 15,788.96

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1.5x scale

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.