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Finding the Fourth Proportional to 20,232.80, 30,329.04 and 9,683.36

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Solution

The fourth proportional to 20,232.80, 30,329.04 and 9,683.36 is: 14,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.80 : 30,329.04 = 9,683.36 : x
  2. Step 2: Convert to fraction form
    20,232.80/30,329.04 = 9,683.36/x
  3. Step 3: Cross multiply
    20,232.80x = 30,329.04 × 9,683.36
  4. Step 4: Simplify right side
    20,232.80x = 293,687,012.77
  5. Step 5: Solve for x
    x = 293,687,012.77/20,232.80
  6. Step 6: Final answer
    x = 14,515.39

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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.