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Finding the Fourth Proportional to 20,084.61, 30,115.62 and 8,235.12

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Solution

The fourth proportional to 20,084.61, 30,115.62 and 8,235.12 is: 12,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.61 : 30,115.62 = 8,235.12 : x
  2. Step 2: Convert to fraction form
    20,084.61/30,115.62 = 8,235.12/x
  3. Step 3: Cross multiply
    20,084.61x = 30,115.62 × 8,235.12
  4. Step 4: Simplify right side
    20,084.61x = 248,005,744.57
  5. Step 5: Solve for x
    x = 248,005,744.57/20,084.61
  6. Step 6: Final answer
    x = 12,348.05

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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.