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Finding the Fourth Proportional to 12,189.60, 16,824.50 and 7,933.32

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Solution

The fourth proportional to 12,189.60, 16,824.50 and 7,933.32 is: 10,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.60 : 16,824.50 = 7,933.32 : x
  2. Step 2: Convert to fraction form
    12,189.60/16,824.50 = 7,933.32/x
  3. Step 3: Cross multiply
    12,189.60x = 16,824.50 × 7,933.32
  4. Step 4: Simplify right side
    12,189.60x = 133,474,142.34
  5. Step 5: Solve for x
    x = 133,474,142.34/12,189.60
  6. Step 6: Final answer
    x = 10,949.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.