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Finding the Fourth Proportional to 21,542.96, 32,314.20 and 8,404.55

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Solution

The fourth proportional to 21,542.96, 32,314.20 and 8,404.55 is: 12,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.96 : 32,314.20 = 8,404.55 : x
  2. Step 2: Convert to fraction form
    21,542.96/32,314.20 = 8,404.55/x
  3. Step 3: Cross multiply
    21,542.96x = 32,314.20 × 8,404.55
  4. Step 4: Simplify right side
    21,542.96x = 271,586,390.40
  5. Step 5: Solve for x
    x = 271,586,390.40/21,542.96
  6. Step 6: Final answer
    x = 12,606.74

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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.