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Finding the Fourth Proportional to 38,382.25, 57,548.64 and 16,189.69

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Solution

The fourth proportional to 38,382.25, 57,548.64 and 16,189.69 is: 24,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.25 : 57,548.64 = 16,189.69 : x
  2. Step 2: Convert to fraction form
    38,382.25/57,548.64 = 16,189.69/x
  3. Step 3: Cross multiply
    38,382.25x = 57,548.64 × 16,189.69
  4. Step 4: Simplify right side
    38,382.25x = 931,694,353.78
  5. Step 5: Solve for x
    x = 931,694,353.78/38,382.25
  6. Step 6: Final answer
    x = 24,274.10

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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.