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Finding the Fourth Proportional to 17,246.98, 25,865.07 and 11,434.42

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Solution

The fourth proportional to 17,246.98, 25,865.07 and 11,434.42 is: 17,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246.98 : 25,865.07 = 11,434.42 : x
  2. Step 2: Convert to fraction form
    17,246.98/25,865.07 = 11,434.42/x
  3. Step 3: Cross multiply
    17,246.98x = 25,865.07 × 11,434.42
  4. Step 4: Simplify right side
    17,246.98x = 295,752,073.71
  5. Step 5: Solve for x
    x = 295,752,073.71/17,246.98
  6. Step 6: Final answer
    x = 17,148.05

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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.