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Finding the Fourth Proportional to 20,172.30, 30,259.88 and 5,381.14

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Solution

The fourth proportional to 20,172.30, 30,259.88 and 5,381.14 is: 8,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.30 : 30,259.88 = 5,381.14 : x
  2. Step 2: Convert to fraction form
    20,172.30/30,259.88 = 5,381.14/x
  3. Step 3: Cross multiply
    20,172.30x = 30,259.88 × 5,381.14
  4. Step 4: Simplify right side
    20,172.30x = 162,832,650.66
  5. Step 5: Solve for x
    x = 162,832,650.66/20,172.30
  6. Step 6: Final answer
    x = 8,072.09

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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.