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Finding the Fourth Proportional to 20,102.04, 30,148.20 and 8,424

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Solution

The fourth proportional to 20,102.04, 30,148.20 and 8,424 is: 12,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.04 : 30,148.20 = 8,424 : x
  2. Step 2: Convert to fraction form
    20,102.04/30,148.20 = 8,424/x
  3. Step 3: Cross multiply
    20,102.04x = 30,148.20 × 8,424
  4. Step 4: Simplify right side
    20,102.04x = 253,968,436.80
  5. Step 5: Solve for x
    x = 253,968,436.80/20,102.04
  6. Step 6: Final answer
    x = 12,633.96

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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.