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Finding the Fourth Proportional to 21,429.82, 32,149.86 and 8,942.90

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Solution

The fourth proportional to 21,429.82, 32,149.86 and 8,942.90 is: 13,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.82 : 32,149.86 = 8,942.90 : x
  2. Step 2: Convert to fraction form
    21,429.82/32,149.86 = 8,942.90/x
  3. Step 3: Cross multiply
    21,429.82x = 32,149.86 × 8,942.90
  4. Step 4: Simplify right side
    21,429.82x = 287,512,822.24
  5. Step 5: Solve for x
    x = 287,512,822.24/21,429.82
  6. Step 6: Final answer
    x = 13,416.49

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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.