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Finding the Fourth Proportional to 20,172.56, 30,238.20 and 7,014.12

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Solution

The fourth proportional to 20,172.56, 30,238.20 and 7,014.12 is: 10,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.56 : 30,238.20 = 7,014.12 : x
  2. Step 2: Convert to fraction form
    20,172.56/30,238.20 = 7,014.12/x
  3. Step 3: Cross multiply
    20,172.56x = 30,238.20 × 7,014.12
  4. Step 4: Simplify right side
    20,172.56x = 212,094,363.38
  5. Step 5: Solve for x
    x = 212,094,363.38/20,172.56
  6. Step 6: Final answer
    x = 10,514.00

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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.