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Finding the Fourth Proportional to 21,542.14, 32,321.45 and 8,403.67

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Solution

The fourth proportional to 21,542.14, 32,321.45 and 8,403.67 is: 12,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.14 : 32,321.45 = 8,403.67 : x
  2. Step 2: Convert to fraction form
    21,542.14/32,321.45 = 8,403.67/x
  3. Step 3: Cross multiply
    21,542.14x = 32,321.45 × 8,403.67
  4. Step 4: Simplify right side
    21,542.14x = 271,618,799.72
  5. Step 5: Solve for x
    x = 271,618,799.72/21,542.14
  6. Step 6: Final answer
    x = 12,608.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.