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Finding the Fourth Proportional to 20,030.88, 30,035.22 and 8,192.96

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Solution

The fourth proportional to 20,030.88, 30,035.22 and 8,192.96 is: 12,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.88 : 30,035.22 = 8,192.96 : x
  2. Step 2: Convert to fraction form
    20,030.88/30,035.22 = 8,192.96/x
  3. Step 3: Cross multiply
    20,030.88x = 30,035.22 × 8,192.96
  4. Step 4: Simplify right side
    20,030.88x = 246,077,393.39
  5. Step 5: Solve for x
    x = 246,077,393.39/20,030.88
  6. Step 6: Final answer
    x = 12,284.90

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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.