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Finding the Fourth Proportional to 17,852.48, 26,780.16 and 5,540.48

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Solution

The fourth proportional to 17,852.48, 26,780.16 and 5,540.48 is: 8,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.48 : 26,780.16 = 5,540.48 : x
  2. Step 2: Convert to fraction form
    17,852.48/26,780.16 = 5,540.48/x
  3. Step 3: Cross multiply
    17,852.48x = 26,780.16 × 5,540.48
  4. Step 4: Simplify right side
    17,852.48x = 148,374,940.88
  5. Step 5: Solve for x
    x = 148,374,940.88/17,852.48
  6. Step 6: Final answer
    x = 8,311.17

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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.