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Finding the Fourth Proportional to 17,278.30, 25,910.97 and 7,412.50

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Solution

The fourth proportional to 17,278.30, 25,910.97 and 7,412.50 is: 11,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.30 : 25,910.97 = 7,412.50 : x
  2. Step 2: Convert to fraction form
    17,278.30/25,910.97 = 7,412.50/x
  3. Step 3: Cross multiply
    17,278.30x = 25,910.97 × 7,412.50
  4. Step 4: Simplify right side
    17,278.30x = 192,065,065.13
  5. Step 5: Solve for x
    x = 192,065,065.13/17,278.30
  6. Step 6: Final answer
    x = 11,115.97

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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.