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Finding the Fourth Proportional to 17,047.90, 25,609.11 and 12,149.02

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Solution

The fourth proportional to 17,047.90, 25,609.11 and 12,149.02 is: 18,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.90 : 25,609.11 = 12,149.02 : x
  2. Step 2: Convert to fraction form
    17,047.90/25,609.11 = 12,149.02/x
  3. Step 3: Cross multiply
    17,047.90x = 25,609.11 × 12,149.02
  4. Step 4: Simplify right side
    17,047.90x = 311,125,589.57
  5. Step 5: Solve for x
    x = 311,125,589.57/17,047.90
  6. Step 6: Final answer
    x = 18,250.08

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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.