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Finding the Fourth Proportional to 20,119.90, 30,190.65 and 8,434.30

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Solution

The fourth proportional to 20,119.90, 30,190.65 and 8,434.30 is: 12,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.90 : 30,190.65 = 8,434.30 : x
  2. Step 2: Convert to fraction form
    20,119.90/30,190.65 = 8,434.30/x
  3. Step 3: Cross multiply
    20,119.90x = 30,190.65 × 8,434.30
  4. Step 4: Simplify right side
    20,119.90x = 254,636,999.30
  5. Step 5: Solve for x
    x = 254,636,999.30/20,119.90
  6. Step 6: Final answer
    x = 12,655.98

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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.