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Finding the Fourth Proportional to 20,006.96, 30,016.92 and 9,617.36

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Solution

The fourth proportional to 20,006.96, 30,016.92 and 9,617.36 is: 14,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.96 : 30,016.92 = 9,617.36 : x
  2. Step 2: Convert to fraction form
    20,006.96/30,016.92 = 9,617.36/x
  3. Step 3: Cross multiply
    20,006.96x = 30,016.92 × 9,617.36
  4. Step 4: Simplify right side
    20,006.96x = 288,683,525.73
  5. Step 5: Solve for x
    x = 288,683,525.73/20,006.96
  6. Step 6: Final answer
    x = 14,429.15

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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.