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Finding the Fourth Proportional to 21,514.50, 32,286.33 and 7,663.50

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Solution

The fourth proportional to 21,514.50, 32,286.33 and 7,663.50 is: 11,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.50 : 32,286.33 = 7,663.50 : x
  2. Step 2: Convert to fraction form
    21,514.50/32,286.33 = 7,663.50/x
  3. Step 3: Cross multiply
    21,514.50x = 32,286.33 × 7,663.50
  4. Step 4: Simplify right side
    21,514.50x = 247,426,289.96
  5. Step 5: Solve for x
    x = 247,426,289.96/21,514.50
  6. Step 6: Final answer
    x = 11,500.44

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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.