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Finding the Fourth Proportional to 13,894.20, 20,832.09 and 7,657.20

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Solution

The fourth proportional to 13,894.20, 20,832.09 and 7,657.20 is: 11,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.20 : 20,832.09 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    13,894.20/20,832.09 = 7,657.20/x
  3. Step 3: Cross multiply
    13,894.20x = 20,832.09 × 7,657.20
  4. Step 4: Simplify right side
    13,894.20x = 159,515,450.83
  5. Step 5: Solve for x
    x = 159,515,450.83/13,894.20
  6. Step 6: Final answer
    x = 11,480.72

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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.