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Finding the Fourth Proportional to 18,003.12, 24,846.12 and 10,930.20

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Solution

The fourth proportional to 18,003.12, 24,846.12 and 10,930.20 is: 15,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,003.12 : 24,846.12 = 10,930.20 : x
  2. Step 2: Convert to fraction form
    18,003.12/24,846.12 = 10,930.20/x
  3. Step 3: Cross multiply
    18,003.12x = 24,846.12 × 10,930.20
  4. Step 4: Simplify right side
    18,003.12x = 271,573,060.82
  5. Step 5: Solve for x
    x = 271,573,060.82/18,003.12
  6. Step 6: Final answer
    x = 15,084.78

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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.