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Finding the Fourth Proportional to 13,856.80, 20,762.40 and 8,003.20

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Solution

The fourth proportional to 13,856.80, 20,762.40 and 8,003.20 is: 11,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.80 : 20,762.40 = 8,003.20 : x
  2. Step 2: Convert to fraction form
    13,856.80/20,762.40 = 8,003.20/x
  3. Step 3: Cross multiply
    13,856.80x = 20,762.40 × 8,003.20
  4. Step 4: Simplify right side
    13,856.80x = 166,165,639.68
  5. Step 5: Solve for x
    x = 166,165,639.68/13,856.80
  6. Step 6: Final answer
    x = 11,991.63

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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.