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Finding the Fourth Proportional to 18,239.10, 27,371.16 and 12,002.10

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Solution

The fourth proportional to 18,239.10, 27,371.16 and 12,002.10 is: 18,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,239.10 : 27,371.16 = 12,002.10 : x
  2. Step 2: Convert to fraction form
    18,239.10/27,371.16 = 12,002.10/x
  3. Step 3: Cross multiply
    18,239.10x = 27,371.16 × 12,002.10
  4. Step 4: Simplify right side
    18,239.10x = 328,511,399.44
  5. Step 5: Solve for x
    x = 328,511,399.44/18,239.10
  6. Step 6: Final answer
    x = 18,011.38

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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.