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Finding the Fourth Proportional to 21,675.50, 32,512.52 and 9,187.49

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Solution

The fourth proportional to 21,675.50, 32,512.52 and 9,187.49 is: 13,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.50 : 32,512.52 = 9,187.49 : x
  2. Step 2: Convert to fraction form
    21,675.50/32,512.52 = 9,187.49/x
  3. Step 3: Cross multiply
    21,675.50x = 32,512.52 × 9,187.49
  4. Step 4: Simplify right side
    21,675.50x = 298,708,556.62
  5. Step 5: Solve for x
    x = 298,708,556.62/21,675.50
  6. Step 6: Final answer
    x = 13,780.93

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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.