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Finding the Fourth Proportional to 13,992.54, 20,992.41 and 5,227.50

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Solution

The fourth proportional to 13,992.54, 20,992.41 and 5,227.50 is: 7,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.54 : 20,992.41 = 5,227.50 : x
  2. Step 2: Convert to fraction form
    13,992.54/20,992.41 = 5,227.50/x
  3. Step 3: Cross multiply
    13,992.54x = 20,992.41 × 5,227.50
  4. Step 4: Simplify right side
    13,992.54x = 109,737,823.28
  5. Step 5: Solve for x
    x = 109,737,823.28/13,992.54
  6. Step 6: Final answer
    x = 7,842.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.