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Finding the Fourth Proportional to 13,983.60, 20,991.60 and 8,443.20

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Solution

The fourth proportional to 13,983.60, 20,991.60 and 8,443.20 is: 12,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.60 : 20,991.60 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    13,983.60/20,991.60 = 8,443.20/x
  3. Step 3: Cross multiply
    13,983.60x = 20,991.60 × 8,443.20
  4. Step 4: Simplify right side
    13,983.60x = 177,236,277.12
  5. Step 5: Solve for x
    x = 177,236,277.12/13,983.60
  6. Step 6: Final answer
    x = 12,674.58

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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.