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Finding the Fourth Proportional to 16,539.78, 24,765.42 and 13,915.38

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Solution

The fourth proportional to 16,539.78, 24,765.42 and 13,915.38 is: 20,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.78 : 24,765.42 = 13,915.38 : x
  2. Step 2: Convert to fraction form
    16,539.78/24,765.42 = 13,915.38/x
  3. Step 3: Cross multiply
    16,539.78x = 24,765.42 × 13,915.38
  4. Step 4: Simplify right side
    16,539.78x = 344,620,230.16
  5. Step 5: Solve for x
    x = 344,620,230.16/16,539.78
  6. Step 6: Final answer
    x = 20,835.84

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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.