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Finding the Fourth Proportional to 20,384.67, 30,535.25 and 12,039.42

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Solution

The fourth proportional to 20,384.67, 30,535.25 and 12,039.42 is: 18,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.67 : 30,535.25 = 12,039.42 : x
  2. Step 2: Convert to fraction form
    20,384.67/30,535.25 = 12,039.42/x
  3. Step 3: Cross multiply
    20,384.67x = 30,535.25 × 12,039.42
  4. Step 4: Simplify right side
    20,384.67x = 367,626,639.36
  5. Step 5: Solve for x
    x = 367,626,639.36/20,384.67
  6. Step 6: Final answer
    x = 18,034.47

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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.