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Finding the Fourth Proportional to 20,328.98, 30,496.31 and 9,238.46

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Solution

The fourth proportional to 20,328.98, 30,496.31 and 9,238.46 is: 13,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.98 : 30,496.31 = 9,238.46 : x
  2. Step 2: Convert to fraction form
    20,328.98/30,496.31 = 9,238.46/x
  3. Step 3: Cross multiply
    20,328.98x = 30,496.31 × 9,238.46
  4. Step 4: Simplify right side
    20,328.98x = 281,739,046.36
  5. Step 5: Solve for x
    x = 281,739,046.36/20,328.98
  6. Step 6: Final answer
    x = 13,858.98

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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.