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Finding the Fourth Proportional to 20,772.99, 31,168.62 and 10,909.98

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Solution

The fourth proportional to 20,772.99, 31,168.62 and 10,909.98 is: 16,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.99 : 31,168.62 = 10,909.98 : x
  2. Step 2: Convert to fraction form
    20,772.99/31,168.62 = 10,909.98/x
  3. Step 3: Cross multiply
    20,772.99x = 31,168.62 × 10,909.98
  4. Step 4: Simplify right side
    20,772.99x = 340,049,020.83
  5. Step 5: Solve for x
    x = 340,049,020.83/20,772.99
  6. Step 6: Final answer
    x = 16,369.77

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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.