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Finding the Fourth Proportional to 17,671.50, 26,514.54 and 7,290.54

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Solution

The fourth proportional to 17,671.50, 26,514.54 and 7,290.54 is: 10,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.50 : 26,514.54 = 7,290.54 : x
  2. Step 2: Convert to fraction form
    17,671.50/26,514.54 = 7,290.54/x
  3. Step 3: Cross multiply
    17,671.50x = 26,514.54 × 7,290.54
  4. Step 4: Simplify right side
    17,671.50x = 193,305,314.45
  5. Step 5: Solve for x
    x = 193,305,314.45/17,671.50
  6. Step 6: Final answer
    x = 10,938.82

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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.