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Finding the Fourth Proportional to 38,591.69, 57,915.23 and 16,420.64

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Solution

The fourth proportional to 38,591.69, 57,915.23 and 16,420.64 is: 24,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.69 : 57,915.23 = 16,420.64 : x
  2. Step 2: Convert to fraction form
    38,591.69/57,915.23 = 16,420.64/x
  3. Step 3: Cross multiply
    38,591.69x = 57,915.23 × 16,420.64
  4. Step 4: Simplify right side
    38,591.69x = 951,004,770.67
  5. Step 5: Solve for x
    x = 951,004,770.67/38,591.69
  6. Step 6: Final answer
    x = 24,642.74

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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.