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Finding the Fourth Proportional to 18,005.67, 27,008.10 and 8,142.30

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Solution

The fourth proportional to 18,005.67, 27,008.10 and 8,142.30 is: 12,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.67 : 27,008.10 = 8,142.30 : x
  2. Step 2: Convert to fraction form
    18,005.67/27,008.10 = 8,142.30/x
  3. Step 3: Cross multiply
    18,005.67x = 27,008.10 × 8,142.30
  4. Step 4: Simplify right side
    18,005.67x = 219,908,052.63
  5. Step 5: Solve for x
    x = 219,908,052.63/18,005.67
  6. Step 6: Final answer
    x = 12,213.27

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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.