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Finding the Fourth Proportional to 15,915.60, 23,873.28 and 4,229.64

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Solution

The fourth proportional to 15,915.60, 23,873.28 and 4,229.64 is: 6,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.60 : 23,873.28 = 4,229.64 : x
  2. Step 2: Convert to fraction form
    15,915.60/23,873.28 = 4,229.64/x
  3. Step 3: Cross multiply
    15,915.60x = 23,873.28 × 4,229.64
  4. Step 4: Simplify right side
    15,915.60x = 100,975,380.02
  5. Step 5: Solve for x
    x = 100,975,380.02/15,915.60
  6. Step 6: Final answer
    x = 6,344.43

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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.