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Finding the Fourth Proportional to 19,809.60, 29,731.20 and 8,131.20

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Solution

The fourth proportional to 19,809.60, 29,731.20 and 8,131.20 is: 12,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.60 : 29,731.20 = 8,131.20 : x
  2. Step 2: Convert to fraction form
    19,809.60/29,731.20 = 8,131.20/x
  3. Step 3: Cross multiply
    19,809.60x = 29,731.20 × 8,131.20
  4. Step 4: Simplify right side
    19,809.60x = 241,750,333.44
  5. Step 5: Solve for x
    x = 241,750,333.44/19,809.60
  6. Step 6: Final answer
    x = 12,203.70

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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.