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Finding the Fourth Proportional to 20,122.02, 30,167.64 and 7,638.30

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Solution

The fourth proportional to 20,122.02, 30,167.64 and 7,638.30 is: 11,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.02 : 30,167.64 = 7,638.30 : x
  2. Step 2: Convert to fraction form
    20,122.02/30,167.64 = 7,638.30/x
  3. Step 3: Cross multiply
    20,122.02x = 30,167.64 × 7,638.30
  4. Step 4: Simplify right side
    20,122.02x = 230,429,484.61
  5. Step 5: Solve for x
    x = 230,429,484.61/20,122.02
  6. Step 6: Final answer
    x = 11,451.61

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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.