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Finding the Fourth Proportional to 25,915.69, 35,768.54 and 16,229.64

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Solution

The fourth proportional to 25,915.69, 35,768.54 and 16,229.64 is: 22,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.69 : 35,768.54 = 16,229.64 : x
  2. Step 2: Convert to fraction form
    25,915.69/35,768.54 = 16,229.64/x
  3. Step 3: Cross multiply
    25,915.69x = 35,768.54 × 16,229.64
  4. Step 4: Simplify right side
    25,915.69x = 580,510,527.53
  5. Step 5: Solve for x
    x = 580,510,527.53/25,915.69
  6. Step 6: Final answer
    x = 22,399.96

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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.