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Finding the Fourth Proportional to 20,133.36, 30,193.89 and 9,597.83

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Solution

The fourth proportional to 20,133.36, 30,193.89 and 9,597.83 is: 14,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.36 : 30,193.89 = 9,597.83 : x
  2. Step 2: Convert to fraction form
    20,133.36/30,193.89 = 9,597.83/x
  3. Step 3: Cross multiply
    20,133.36x = 30,193.89 × 9,597.83
  4. Step 4: Simplify right side
    20,133.36x = 289,795,636.30
  5. Step 5: Solve for x
    x = 289,795,636.30/20,133.36
  6. Step 6: Final answer
    x = 14,393.80

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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.