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Finding the Fourth Proportional to 12,193.20, 18,296.58 and 5,953.29

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Solution

The fourth proportional to 12,193.20, 18,296.58 and 5,953.29 is: 8,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.20 : 18,296.58 = 5,953.29 : x
  2. Step 2: Convert to fraction form
    12,193.20/18,296.58 = 5,953.29/x
  3. Step 3: Cross multiply
    12,193.20x = 18,296.58 × 5,953.29
  4. Step 4: Simplify right side
    12,193.20x = 108,924,846.75
  5. Step 5: Solve for x
    x = 108,924,846.75/12,193.20
  6. Step 6: Final answer
    x = 8,933.25

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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.