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Finding the Fourth Proportional to 15,915.20, 23,874.04 and 4,822.80

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Solution

The fourth proportional to 15,915.20, 23,874.04 and 4,822.80 is: 7,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.20 : 23,874.04 = 4,822.80 : x
  2. Step 2: Convert to fraction form
    15,915.20/23,874.04 = 4,822.80/x
  3. Step 3: Cross multiply
    15,915.20x = 23,874.04 × 4,822.80
  4. Step 4: Simplify right side
    15,915.20x = 115,139,720.11
  5. Step 5: Solve for x
    x = 115,139,720.11/15,915.20
  6. Step 6: Final answer
    x = 7,234.58

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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.