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Finding the Fourth Proportional to 20,138.18, 30,207.06 and 12,242.88

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Solution

The fourth proportional to 20,138.18, 30,207.06 and 12,242.88 is: 18,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.18 : 30,207.06 = 12,242.88 : x
  2. Step 2: Convert to fraction form
    20,138.18/30,207.06 = 12,242.88/x
  3. Step 3: Cross multiply
    20,138.18x = 30,207.06 × 12,242.88
  4. Step 4: Simplify right side
    20,138.18x = 369,821,410.73
  5. Step 5: Solve for x
    x = 369,821,410.73/20,138.18
  6. Step 6: Final answer
    x = 18,364.20

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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.