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Finding the Fourth Proportional to 14,834.93, 20,472.09 and 8,120.42

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Solution

The fourth proportional to 14,834.93, 20,472.09 and 8,120.42 is: 11,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.93 : 20,472.09 = 8,120.42 : x
  2. Step 2: Convert to fraction form
    14,834.93/20,472.09 = 8,120.42/x
  3. Step 3: Cross multiply
    14,834.93x = 20,472.09 × 8,120.42
  4. Step 4: Simplify right side
    14,834.93x = 166,241,969.08
  5. Step 5: Solve for x
    x = 166,241,969.08/14,834.93
  6. Step 6: Final answer
    x = 11,206.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.