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Finding the Fourth Proportional to 12,229.60, 16,881.60 and 8,039.20

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Solution

The fourth proportional to 12,229.60, 16,881.60 and 8,039.20 is: 11,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.60 : 16,881.60 = 8,039.20 : x
  2. Step 2: Convert to fraction form
    12,229.60/16,881.60 = 8,039.20/x
  3. Step 3: Cross multiply
    12,229.60x = 16,881.60 × 8,039.20
  4. Step 4: Simplify right side
    12,229.60x = 135,714,558.72
  5. Step 5: Solve for x
    x = 135,714,558.72/12,229.60
  6. Step 6: Final answer
    x = 11,097.22

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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.