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Finding the Fourth Proportional to 20,146.86, 30,234.06 and 6,999.12

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Solution

The fourth proportional to 20,146.86, 30,234.06 and 6,999.12 is: 10,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.86 : 30,234.06 = 6,999.12 : x
  2. Step 2: Convert to fraction form
    20,146.86/30,234.06 = 6,999.12/x
  3. Step 3: Cross multiply
    20,146.86x = 30,234.06 × 6,999.12
  4. Step 4: Simplify right side
    20,146.86x = 211,611,814.03
  5. Step 5: Solve for x
    x = 211,611,814.03/20,146.86
  6. Step 6: Final answer
    x = 10,503.46

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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.